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Pranav writes in his notebook a number, N, to the base 16. He observes that N is a nine-digit number and the sum of these nine digits is (30)10. If sum of the digits in the even places is equal to the sum of the digits in the odd places, then (N)16 is always divisible by(99)10(99)16(255)10(255)16

Question

Pranav writes in his notebook a number, N, to the base 16. He observes that N is a nine-digit number and the sum of these nine digits is (30)10. If sum of the digits in the even places is equal to the sum of the digits in the odd places, then (N)16 is always divisible by(99)10(99)16(255)10(255)16

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