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A word with no repeated characters is called an isogram.

Is there a word for a number with no repeating digits?

For example: 123 is a ____.

To clarify further, for a decimal number system the number could never be longer than 10 digits and for any other base number system the number could never be longer than the total number of distinct symbols in that number system.

  • Can your number be longer than 10 digits? – Mitch Jan 23 at 3:21
  • Couldn't it be longer than 10 digits in hexadecimal? – Cascabel Jan 23 at 15:30
  • There doesn't seem to be a name for this category. I would say "numbers with no repeating digits." I also am seeing "isogram numbers," but I don't think that's a term. – Maverick Jan 23 at 16:51
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    Are you sure "isogram" cannot be used for this? – GEdgar Jan 30 at 13:52
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    Interestingly, the OED doesn't have this definition for isogram, only a definition relating to diagrams with some equality of feature. Presumably when the entry is updated this new coinage will be reflected. If you wanted to form your own word, since isogram comes from Greek ἴσος ("equal") + γράμμα ("letter") I think isarithm seems likely, substituting αριθμός ("number") for the second part. (Of course, based on the etymology of the word, I would have thought that toot and mama would also qualify as isograms, having an equal number of each letter.) – 1006a Feb 6 at 22:08
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It's not a single word, but the very unsatifactory answer is isogram number. You can find it in these less-than-reputable sources.

http://mentalfloss.com/article/535184/isogram-numbers https://www.sporcle.com/games/ShepherdBook/Isogram_Numbers

  • That could work, but I'm not sure about the applicability of this description, which appears similarly in both links: "Can you name the only whole numbers with no repeating letters in their name?" It seems to refer to spelling numbers. Would inverting it ("numeral isogram," with numeral as an adjective describing that the characters to be counted are digits and not letters) work better? – TaliesinMerlin Feb 6 at 21:35
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There are recurring and non-recurring ratinale and whole numbers or integers. Recurring digits are written with bar on digits that repeat. Non-recurring are unending sequence.

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