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2010 CentroAmerican
1
Centroamerican Olympiad 2010, problem 1
Centroamerican Olympiad 2010, problem 1
Source:
May 30, 2010
modular arithmetic
number theory proposed
number theory
Problem Statement
Denote by
S
(
n
)
S(n)
S
(
n
)
the sum of the digits of the positive integer
n
n
n
. Find all the solutions of the equation
n
(
S
(
n
)
ā
1
)
=
2010.
n(S(n)-1)=2010.
n
(
S
(
n
)
ā
1
)
=
2010.
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