2016 Digit Strings

Algebra Level 3

Following are the ten 2016-digit numbers with all their digits repeating in ascending (or increasing) order. What is the sum of the digits of the number obtained as a sum of these huge numbers?

0123456789012345678901234567890...123456789012345 123456789012345678901234567890...1234567890123456 23456789012345678901234567890...12345678901234567 3456789012345678901234567890...123456789012345678 456789012345678901234567890...1234567890123456789 56789012345678901234567890...12345678901234567890 6789012345678901234567890...123456789012345678901 789012345678901234567890...1234567890123456789012 89012345678901234567890...12345678901234567890123 9012345678901234567890...123456789012345678901234

Clarifications:

  • Despite leading with a 0, the first number has 2016 digits as well

  • Each of the numbers has a repeating part \( \dots 0123456789 \dots \)

Try Part 1 of this problem as well.

×

Problem Loading...

Note Loading...

Set Loading...