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 base36 is the largest base where all its digits have a recognized standard notational acceptance [09,AZ] the largest representable fivedigit number multiplied by a single digit resulting in a sixdigit number is the base36:
YU0YU * V = UUUUUU.
(YU0YU_{36} = 60187530_{10} > 95238_{10})
Edited on June 13, 2012, 11:42 pm

Posted by Dej Mar
on 20120613 23:40:49 