# Number base is very complex

Number Theory Level 5

In base $$2$$, $$2016_{10}=111 1110 0000_2$$.

In base $$3$$, $$2016_{10}=220 2200_3$$

In base $$4$$, $$2016_{10}=13 3200_4$$

In base $$5$$, $$2016_{10}=3 1031_5$$

Finf the smallest number (in base $$10$$) bigger than $$1$$ which have only $$0$$s and $$1$$s in its representation from base $$2$$ to base $$5$$.

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