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413355331 is a prime number
BaseRepresentation
bin11000101000110…
…100110101000011
31001210210121220201
4120220310311003
51321304332311
6105003350031
713146314404
oct3050646503
91053717821
10413355331
111a2367a84
12b6522317
136783946c
143cc7d9ab
15264509c1
hex18a34d43

413355331 has 2 divisors, whose sum is σ = 413355332. Its totient is φ = 413355330.

The previous prime is 413355329. The next prime is 413355343. The reversal of 413355331 is 133553314.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 413355331 - 21 = 413355329 is a prime.

It is a super-2 number, since 2×4133553312 = 341725259332239122, which contains 22 as substring.

Together with 413355329, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 413355331.

It is not a weakly prime, because it can be changed into another prime (413350331) 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, 206677665 + 206677666.

It is an arithmetic number, because the mean of its divisors is an integer number (206677666).

Almost surely, 2413355331 is an apocalyptic number.

413355331 is a deficient number, since it is larger than the sum of its proper divisors (1).

413355331 is an equidigital number, since it uses as much as digits as its factorization.

413355331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8100, while the sum is 28.

The square root of 413355331 is about 20331.1419010345. The cubic root of 413355331 is about 744.9169350207.

The spelling of 413355331 in words is "four hundred thirteen million, three hundred fifty-five thousand, three hundred thirty-one".