Question 12
The number of stars in the sky is
$$8\times12+98\times102+998\times1002+\cdots+99\cdots98\times100\cdots02.$$
In the last term, there are 2014 copies of the digit 9 in $99\cdots98$ and 2014 copies of the digit 0 in $100\cdots02$. What is the sum of the digits of the number of stars?
$$8\times12+98\times102+998\times1002+\cdots+99\cdots98\times100\cdots02.$$
In the last term, there are 2014 copies of the digit 9 in $99\cdots98$ and 2014 copies of the digit 0 in $100\cdots02$. What is the sum of the digits of the number of stars?