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1.183*10^11 square km

The total area is 4пΣ(3000+120n)², summing n from 0 to 100.

We ask Wolfram Alpha (leaving out the 4$\pi$):

Now we just have to multiply the result by 4$\pi$:

4$\pi$ * 9417240000 = 1.183*10^11 square km.

QED.