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313323113009 is a prime number
BaseRepresentation
bin1001000111100111000…
…00110100101000110001
31002221202000201021221002
410203303200310220301
520113141204104014
6355534425411345
731431303342404
oct4436340645061
91087660637832
10313323113009
111109748022a5
1250883339b55
132371413172a
1411244779d3b
15823c187dde
hex48f3834a31

313323113009 has 2 divisors, whose sum is σ = 313323113010. Its totient is φ = 313323113008.

The previous prime is 313323112969. The next prime is 313323113041. The reversal of 313323113009 is 900311323313.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 217876099984 + 95447013025 = 466772^2 + 308945^2 .

It is a cyclic number.

It is not a de Polignac number, because 313323113009 - 212 = 313323108913 is a prime.

It is not a weakly prime, because it can be changed into another prime (313323113099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156661556504 + 156661556505.

It is an arithmetic number, because the mean of its divisors is an integer number (156661556505).

Almost surely, 2313323113009 is an apocalyptic number.

It is an amenable number.

313323113009 is a deficient number, since it is larger than the sum of its proper divisors (1).

313323113009 is an equidigital number, since it uses as much as digits as its factorization.

313323113009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 29.

The spelling of 313323113009 in words is "three hundred thirteen billion, three hundred twenty-three million, one hundred thirteen thousand, nine".