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Special Numbers II (Posted on 2012-10-28) Difficulty: 3 of 5
There exists a number oddity with three different 4-digit duodecimal (base 12) positive integers. One is BA01, where: (BA+01)2= BA01.

It also works with 3630 as: (36+30)2 = 3630

What is the other number?

What is the smallest 6-digit duodecimal positive integer that would work? (in other words, in a 6-digit number pqrstu with pqrstu=(pqr+stu)2, where each of the letters denote a base 12 digit whether same or different.)

Note: None of the numbers can contain leading zeroes.

No Solution Yet Submitted by K Sengupta    
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  Subject Author Date
Solutioncomputer solutionCharlie2012-10-28 16:54:45
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