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312313803817 is a prime number
BaseRepresentation
bin1001000101101110101…
…10100111010000101001
31002212010200112002000011
410202313112213100221
520104104313210232
6355250332411521
731364266350121
oct4426726472051
91085120462004
10312313803817
111104a7000374
1250641316ba1
13235b2cb5262
141118a6c7c81
1581cd768547
hex48b75a7429

312313803817 has 2 divisors, whose sum is σ = 312313803818. Its totient is φ = 312313803816.

The previous prime is 312313803793. The next prime is 312313803839. The reversal of 312313803817 is 718308313213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 284434488976 + 27879314841 = 533324^2 + 166971^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312313803817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312313803817.

It is not a weakly prime, because it can be changed into another prime (312313803847) 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, 156156901908 + 156156901909.

It is an arithmetic number, because the mean of its divisors is an integer number (156156901909).

Almost surely, 2312313803817 is an apocalyptic number.

It is an amenable number.

312313803817 is a deficient number, since it is larger than the sum of its proper divisors (1).

312313803817 is an equidigital number, since it uses as much as digits as its factorization.

312313803817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 312313803817 in words is "three hundred twelve billion, three hundred thirteen million, eight hundred three thousand, eight hundred seventeen".