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312372471841 is a prime number
BaseRepresentation
bin1001000101110101101…
…10011010100000100001
31002212021202220201101221
410202322312122200201
520104214323044331
6355300230055041
731365611125663
oct4427266324041
91085252821357
10312372471841
11110527131541
1250658aaa481
13235c21b6b71
14111943da533
1581d39a6711
hex48bad9a821

312372471841 has 2 divisors, whose sum is σ = 312372471842. Its totient is φ = 312372471840.

The previous prime is 312372471839. The next prime is 312372471893. The reversal of 312372471841 is 148174273213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 195952302225 + 116420169616 = 442665^2 + 341204^2 .

It is a cyclic number.

It is not a de Polignac number, because 312372471841 - 21 = 312372471839 is a prime.

It is a super-2 number, since 2×3123724718412 (a number of 24 digits) contains 22 as substring.

Together with 312372471839, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (312372471821) 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, 156186235920 + 156186235921.

It is an arithmetic number, because the mean of its divisors is an integer number (156186235921).

Almost surely, 2312372471841 is an apocalyptic number.

It is an amenable number.

312372471841 is a deficient number, since it is larger than the sum of its proper divisors (1).

312372471841 is an equidigital number, since it uses as much as digits as its factorization.

312372471841 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 225792, while the sum is 43.

The spelling of 312372471841 in words is "three hundred twelve billion, three hundred seventy-two million, four hundred seventy-one thousand, eight hundred forty-one".