Problem: The number 10!10!10! (101010 is written in base 101010), when written in the base 121212 system, ends with exactly kkk zeros. The value of kkk is
Answer Choices:
A. 111
B. 222
C. 333
D. 444
E. 555 Solution:
The number 10!=7×52×12410!=7 \times 5^{2} \times 12^{4}10!=7×52×124 when written in the base 121212 system, ends with exactly 444 zeros.