Italian Mathematical Olympiad 2001 - Problem 4
Source:
November 4, 2012
least common multiplenumber theory proposednumber theory
Problem Statement
A positive integer is called monotone if has at least two digits and all its digits are nonzero and appear in a strictly increasing or strictly decreasing order.(a) Compute the sum of all monotone five-digit numbers.
(b) Find the number of final zeros in the least common multiple of all monotone numbers (with any number of digits).