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IntegerString—Wolfram Documentation

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IntegerString[n]

gives a string consisting of the decimal digits in the integer n.

IntegerString[n,b]

gives a string consisting of the base-b digits in the integer n.

IntegerString[n,b,len]

pads the string on the left with zero digits to give a string of length len.

IntegerString[n,MixedRadix[blist]]

uses the mixed radix with a list of bases blist.

IntegerString[n,"numsys"]

gives the numeral form of n based on the numeric system defined by "numsys".

Details
Details and Options Details and Options
Examples  
Basic Examples  
Scope  
Generalizations & Extensions  
Properties & Relations  
Possible Issues  
Neat Examples  
See Also
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IntegerString

IntegerString[n]

gives a string consisting of the decimal digits in the integer n.

IntegerString[n,b]

gives a string consisting of the base-b digits in the integer n.

IntegerString[n,b,len]

pads the string on the left with zero digits to give a string of length len.

IntegerString[n,MixedRadix[blist]]

uses the mixed radix with a list of bases blist.

IntegerString[n,"numsys"]

gives the numeral form of n based on the numeric system defined by "numsys".

Details

  • The maximum allowed base is 36. For bases larger than 10, additional digits are chosen from the letters a–z.
  • IntegerString[n] discards the sign of n.
  • If len is less than the number of digits in n, then the len least significant digits are returned.
  • In IntegerString[n,"numsys"], possible human-use numeric systems "numsys" include:
  • "Arabic"Arabic numerals
    "ArabicExtended"extended Arabic numerals
    "Armenian"Armenian numerals
    "ArmenianLower"lowercase Armenian numerals
    "Bengali"Bengali numerals
    "Chinese"Chinese numerals
    "Devanagari"Devanagari numerals
    "Ethiopic"Ethiopic numerals
    "Georgian"Georgian numerals
    "Greek"Greek numerals
    "GreekLower"lowercase Greek numerals
    "Gurmukhi"Gurmukhi numerals used in Punjabi language
    "Hebrew"Hebrew numerals
    "Japanese"Japanese numerals
    "JapaneseFinancial"Japanese numerals used for financial purposes
    "Kannada"Kannada numerals
    "KayahLi"Kayah Li numerals
    "Malayalam"Malayalam numerals
    "N'ko"N'ko numerals
    "Oriya"Oriya, also known as Odia, numerals
    "Roman"Roman numerals
    "RomanVariant"Roman numerals that use only Unicode characters
    "RomanLower"lowercase Roman numerals
    "SimplifiedChinese"Simplified Chinese numerals
    "SimplifiedChineseFinancial"Simplified Chinese numerals used for financial purposes
    "Tai"Tai numerals
    "Tamil"Tamil numerals
    "TamilDecimal"base-10 Tamil numerals
    "Tao"Tao, also known as Yami, numerals
    "Telugu"Telugu numerals
    "Thai"Thai numerals
    "Tibetan"Tibetan numerals
    "TraditionalChinese"numerals used in Traditional Chinese
    "TraditionalChineseCalendar"numerals used in Traditional Chinese calendars
    "TraditionalChineseDecimal"base-10 Traditional Chinese numerals
    "TraditionalChineseFinancial"Traditional Chinese numerals used for financial purposes
  • Possible machine-use numeric systems include:
  • "Base58"base-58 digits with Bitcoin encoding alphabet
    "Base64"base-64 digits with Base64 encoding alphabet

Examples

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Basic Examples  (5)

Convert an integer to a string in decimal:

Wolfram Language code: IntegerString[42]

Convert to binary, giving the result as a string:

Wolfram Language code: IntegerString[17651, 2]//InputForm

Convert to Roman numerals:

Wolfram Language code: IntegerString[1988, "Roman"]

Convert to Japanese financial numerals:

Wolfram Language code: IntegerString[8500000, "JapaneseFinancial"]

Convert to a base-64 representation:

Wolfram Language code: IntegerString[8500000, "Base64"]

Scope  (4)

In base 16, a through f are used as digits:

Wolfram Language code: IntegerString[50!, 16]

Use a MixedRadix specification:

Wolfram Language code: IntegerString[654321, MixedRadix[{12, 11, 10, 9, 8, 7, 6}]]

Find only the last 2 characters:

Wolfram Language code: IntegerString[1084, MixedRadix[{17, 15, 11}], 2]

Use a numsys as specification:

Wolfram Language code: IntegerString[1950650, "TraditionalChineseFinancial"]

Generalizations & Extensions  (1)

The maximum base of 36 uses letters a through z:

Wolfram Language code: IntegerString[50!, 36]

Properties & Relations  (4)

ToUpperCase converts to uppercase letters:

Wolfram Language code: IntegerString[50!, 16]
Wolfram Language code: ToUpperCase[%]

FromDigits may be used as the inverse of IntegerString:

Wolfram Language code: IntegerString[2046, 2]
Wolfram Language code: FromDigits[%, 2]

Not all numeric systems are supported by FromDigits:

Wolfram Language code: IntegerString[305, "Arabic"]
Wolfram Language code: FromDigits[%, "Arabic"]

This is the largest number representable in a mixed radix system with bases 1… 36:

Wolfram Language code: len = 36; IntegerString[len! - 1, MixedRadix[Range[len]]]

Use the "Base64" alphabet to express an integer in powers of 64:

Wolfram Language code: IntegerString[5000, "Base64"]

Compare with:

Wolfram Language code: 64^2(LetterNumber["B"] - LetterNumber["A"]) + 64^1(LetterNumber["O"] - LetterNumber["A"]) + 64^0(LetterNumber["I"] - LetterNumber["A"])

Possible Issues  (1)

Some numeric systems are defined only in a limited numeric range:

Wolfram Language code: IntegerString[100000000, "Tamil"]

Neat Examples  (1)

Show a single number in successive bases from 2 to 36:

Wolfram Language code: Column[Table[IntegerString[20!, n], {n, 2, 36}]]
Wolfram Research (2007), IntegerString, Wolfram Language function, https://reference.wolfram.com/language/ref/IntegerString.html (updated 2020).

Text

Wolfram Research (2007), IntegerString, Wolfram Language function, https://reference.wolfram.com/language/ref/IntegerString.html (updated 2020).

CMS

Wolfram Language. 2007. "IntegerString." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2020. https://reference.wolfram.com/language/ref/IntegerString.html.

APA

Wolfram Language. (2007). IntegerString. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/IntegerString.html

BibTeX

@misc{reference.wolfram_2026_integerstring, author="Wolfram Research", title="{IntegerString}", year="2020", howpublished="\url{https://reference.wolfram.com/language/ref/IntegerString.html}", note=[Accessed: 14-November-2026]}

BibLaTeX

@online{reference.wolfram_2026_integerstring, organization={Wolfram Research}, title={IntegerString}, year={2020}, url={https://reference.wolfram.com/language/ref/IntegerString.html}, note=[Accessed: 14-November-2026]}