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2000 Harvard-MIT Mathematics Tournament
7
2000 HMMT RMT Team #7
2000 HMMT RMT Team #7
Source:
March 8, 2024
number theory
Problem Statement
8712
8712
8712
is an integral multiple of its reversal,
2178
2178
2178
, as
8712
=
4
ā
2178
8712=4 * 2178
8712
=
4
ā
2178
. Find another
4
4
4
-digit number which is a non-trivial integral multiple of its reversal.
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