The number $N$ is a multiple of 7. The base 2 representation of $N$ is
\[10110101010101ABC110.\]
Compute the ordered triple of digits $(A, B,C)$.

10a^3+277a^2-132a-792

step-by-step explanation:

(2a+11)(5a-12)(foil)

=10a^2-24a+55a-132 =10a^2+31a-132

(10a^2+31a-132)(a+6)

=10a^3+60a^2+31a^2+186a^2-132a-792 =10a^3+277a^2-132a-792

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