$$100^{2}\{2(100+2)+2(100+2)+2^{2}\}$$
$4120000$
$$10000\left(2\left(100+2\right)+2\left(100+2\right)+2^{2}\right)$$
$$10000\left(2\times 102+2\left(100+2\right)+2^{2}\right)$$
$$10000\left(204+2\left(100+2\right)+2^{2}\right)$$
$$10000\left(204+2\times 102+2^{2}\right)$$
$$10000\left(204+204+2^{2}\right)$$
$$10000\left(408+2^{2}\right)$$
$$10000\left(408+4\right)$$
$$10000\times 412$$
$$4120000$$
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$2^{6}\times 5^{4}\times 103$
