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Let Tn denotes the n^(th) term of a G.P...

Let `T_n` denotes the `n^(th)` term of a `G.P.` with common ratio `2 and (log_2(log_3(log_512 T_100))) = 1`. If three sides of a triangle ABC are the values of `(T_1+ T_2), T_2 and T_3`, then area of the triangle is `sqrt 2160/N`, where N isa positive integer. Find the remainder when Nis divided by `2^10`.

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