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Problems
Contests
National and Regional Contests
Argentina Contests
Argentina National Olympiad
1996 Argentina National Olympiad
2
2
Part of
1996 Argentina National Olympiad
Problems
(1)
10-digit number existence questioned, rearranging digits
Source: Argentina 1996 OMA L3 p2
5/13/2024
Decide if there exists any number of
10
10
10
digits such that rearranging
10
,
000
10,000
10
,
000
times its digits results in
10
,
000
10,000
10
,
000
different numbers that are multiples of
7
7
7
.
number theory
Digits