2013 2013 TimesNumber Theory Level 4
Consider \(N=20132013 \ldots 2013 \), where \(N\) consists of the number 2013 concatenated (repeated) 2013 times. What is the remainder of N when divided by 1001?
Details and assumptions
Concatenated: Combining 2 strings of numbers into one, by placing the first string directly before the second. For example, the number 123 concatenated 4 times would be 123123123123.