

Sometimes, the term is used to refer only to pandigital numbers with no redundant digits. 2 is the only such pandigital number in base 2, while there are more of these in base 10. The smallest pandigital number in a given base b is an integer of the formī b − 1 + ∑ d = 2 b − 1 d b b − 1 − d = b b − b ( b − 1 ) 2 + ( b − 1 ) × b b − 2 − 1 consecutive pandigital numbers with redundant digits by writing all the digits of the base together (but not putting the zero first as the most significant digit) and adding x + 1 zeroes at the end as least significant digits.Ĭonversely, the smaller the base, the fewer pandigital numbers without redundant digits there are. For example, 1234567890 (one billion two hundred thirty four million five hundred sixty seven thousand eight hundred ninety) is a pandigital number in base 10. In mathematics, a pandigital number is an integer that in a given base has among its significant digits each digit used in the base at least once.

( January 2017) ( Learn how and when to remove this template message) Please help to improve this article by introducing more precise citations. This article includes a list of references, related reading, or external links, but its sources remain unclear because it lacks inline citations.
