An integer N consisting of five distinct nonzero digits has the curious property that it is equal to the sum of all the different three-digit integers formed by the three digit permutations of its five digits. Find N.

(In reply to Solution by e.g.)

I realized the 111 times 12 trick, I wrote a program checking all the multiples of 1332... and then goofed and printed TWICE the correct value!! Artificial Intelligence cannot compensate for Natural Dumbness...

Posted by e.g. on 2004-06-30 10:54:17