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2013 AMC 10B Problem 18

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2013 AMC 10B Problem 18AMC 10 Step by Step
Name:                             Date: September 13, 2026
Bases & Digits · difficulty 3 of 5 · about 4 min · position P16-20

The number 20132013 has the property that its units digit is the sum of its other digits, that is 2+0+1=32+0+1=3 . How many integers less than 20132013 but greater than 10001000 share this property?

  1. A)

    3333

  2. B)

    3434

  3. C)

    4545

  4. D)

    4646

  5. E)

    5858

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