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212747413 is a prime number
BaseRepresentation
bin11001010111001…
…00010010010101
3112211022200120211
430223210102111
5413430404123
633035525421
75162215564
oct1453442225
9484280524
10212747413
11aa0aa30a
125b2b9871
13350cb558
142037dbdb
1513a2640d
hexcae4495

212747413 has 2 divisors, whose sum is σ = 212747414. Its totient is φ = 212747412.

The previous prime is 212747377. The next prime is 212747417. The reversal of 212747413 is 314747212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 174715524 + 38031889 = 13218^2 + 6167^2 .

It is a cyclic number.

It is not a de Polignac number, because 212747413 - 29 = 212746901 is a prime.

It is a super-2 number, since 2×2127474132 = 90522923476385138, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212747417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106373706 + 106373707.

It is an arithmetic number, because the mean of its divisors is an integer number (106373707).

Almost surely, 2212747413 is an apocalyptic number.

It is an amenable number.

212747413 is a deficient number, since it is larger than the sum of its proper divisors (1).

212747413 is an equidigital number, since it uses as much as digits as its factorization.

212747413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9408, while the sum is 31.

The square root of 212747413 is about 14585.8634643274. The cubic root of 212747413 is about 596.9731008515.

The spelling of 212747413 in words is "two hundred twelve million, seven hundred forty-seven thousand, four hundred thirteen".