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313223231232017 is a prime number
BaseRepresentation
bin100011100110111111111011…
…1011011101101100000010001
31112002000211220112101122220122
41013031333313123231200101
5312023322134143411032
63030100433240520025
7122655426443432051
oct10715776733554021
91462024815348818
10313223231232017
1190891254354917
122b168916480015
13105a0a9333c522
14574c12a01d561
1526329c5c03012
hex11cdff76ed811

313223231232017 has 2 divisors, whose sum is σ = 313223231232018. Its totient is φ = 313223231232016.

The previous prime is 313223231231983. The next prime is 313223231232061. The reversal of 313223231232017 is 710232132322313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 296832789914896 + 16390441317121 = 17228836^2 + 4048511^2 .

It is a cyclic number.

It is not a de Polignac number, because 313223231232017 - 28 = 313223231231761 is a prime.

It is not a weakly prime, because it can be changed into another prime (313223131232017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156611615616008 + 156611615616009.

It is an arithmetic number, because the mean of its divisors is an integer number (156611615616009).

Almost surely, 2313223231232017 is an apocalyptic number.

It is an amenable number.

313223231232017 is a deficient number, since it is larger than the sum of its proper divisors (1).

313223231232017 is an equidigital number, since it uses as much as digits as its factorization.

313223231232017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54432, while the sum is 35.

The spelling of 313223231232017 in words is "three hundred thirteen trillion, two hundred twenty-three billion, two hundred thirty-one million, two hundred thirty-two thousand, seventeen".