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Multiply Sum and Sum of Squares II (Posted on 2010-12-07) Difficulty: 3 of 5
Determine all possible values of a duodecimal (base 12) positive integer N less than 100,000 (base 12), such that N is obtained by multiplying the sum of its digits with the sum of squares of its digits.

Prove that these are the only possible values of N that exist.

No Solution Yet Submitted by K Sengupta    
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  Subject Author Date
Solutioncomputer search and analytic proof (spoiler)Charlie2010-12-07 15:18:32
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