Track / Stage 4 / 43 of 340 #303 of 1964

Given the numbers $5^{1971}$ and $2^{1971}$. They are written consecutively. What is the number of digits in the resulting number?

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A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

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Official solution

71.14. Answer. 1972 digits, since the product of these numbers is equal to $10^{1971}$.

Source: NuminaMath-1.5, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.