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311302122259 is a prime number
BaseRepresentation
bin1001000011110110000…
…11010110101100010011
31002202112011212022210211
410201323003112230103
520100021320403014
6355002112504551
731330233244162
oct4417303265423
91082464768724
10311302122259
11110027a29007
12503ba54b157
132348151800b
14110d21b93d9
15816ea2acc4
hex487b0d6b13

311302122259 has 2 divisors, whose sum is σ = 311302122260. Its totient is φ = 311302122258.

The previous prime is 311302122221. The next prime is 311302122269. The reversal of 311302122259 is 952221203113.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 311302122259 - 211 = 311302120211 is a prime.

It is a super-2 number, since 2×3113021222592 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 311302122259.

It is not a weakly prime, because it can be changed into another prime (311302122269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155651061129 + 155651061130.

It is an arithmetic number, because the mean of its divisors is an integer number (155651061130).

Almost surely, 2311302122259 is an apocalyptic number.

311302122259 is a deficient number, since it is larger than the sum of its proper divisors (1).

311302122259 is an equidigital number, since it uses as much as digits as its factorization.

311302122259 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 31.

The spelling of 311302122259 in words is "three hundred eleven billion, three hundred two million, one hundred twenty-two thousand, two hundred fifty-nine".