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Omni-MATH / Determine the smallest positive integer A with an odd number of digits and this property, that both A and the number B created by removing the middle digit of the number A are divi…

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problem

Determine the smallest positive integer AA with an odd number of digits and this property, that both AA and the number BB created by removing the middle digit of the number AA are divisible by 20182018.
Plain-text mathematical notation (without MathML)
Determine the smallest positive integer A with an odd number of digits and this property, that both A and the number B created by removing the middle digit of the number A are divisible by 2018.
Original LaTeX notation
Determine the smallest positive integer $A$ with an odd number of digits and this property, that both $A$ and the number $B$ created by removing the middle digit of the number $A$ are divisible by $2018$.

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