What is the biggest 5 digit number such that when multiplied by a single digit, the result is a six digit number, with all digits identical?

(In reply to re(2): Solution (spoiler) Base 12 error by Jer)

Corrected.

Given that base-36 is the largest base where all its digits have a recognized standard notational acceptance [0-9,A-Z] the largest representable five-digit number multiplied by a single digit resulting in a six-digit number is the base-36:
YU0YU * V = UUUUUU.

(YU0YU₃₆ = 60187530₁₀ > 95238₁₀)

Edited on June 13, 2012, 11:42 pm

Posted by Dej Mar on 2012-06-13 23:40:49