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Equal digits (Posted on 2012-06-11) Difficulty: 1 of 5
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?

See The Solution Submitted by Ady TZIDON    
Rating: 4.0000 (4 votes)

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re(3): Solution (spoiler) Base 12 error Comment 7 of 7 |
(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

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