123 is a peculiar integer, because 1+2+3=1*2*3. 1412 is also peculiar, since 1+4+1+2=1*4*1*2.

A simple question: are there infinitely many such numbers?

A not so simple question: if so, are there such numbers for ANY number of digits?

(In reply to re: An extra question - solution (spoiler) by Dej Mar)

2,2,3,3 and 26 1's make a 30-digit peculiar integer.

Posted by Charlie on 2006-08-22 14:19:57