Search a number
-
+
312324323089 is a prime number
BaseRepresentation
bin1001000101101111111…
…10101111011100010001
31002212011102022111201211
410202313332233130101
520104120011314324
6355251350100121
731364454641422
oct4426776573421
91085142274654
10312324323089
11110501a35689
125064494a641
13235b522928c
141118bc65649
1581ce645294
hex48b7faf711

312324323089 has 2 divisors, whose sum is σ = 312324323090. Its totient is φ = 312324323088.

The previous prime is 312324323081. The next prime is 312324323107. The reversal of 312324323089 is 980323423213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 310452895489 + 1871427600 = 557183^2 + 43260^2 .

It is a cyclic number.

It is not a de Polignac number, because 312324323089 - 23 = 312324323081 is a prime.

It is not a weakly prime, because it can be changed into another prime (312324323081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156162161544 + 156162161545.

It is an arithmetic number, because the mean of its divisors is an integer number (156162161545).

Almost surely, 2312324323089 is an apocalyptic number.

It is an amenable number.

312324323089 is a deficient number, since it is larger than the sum of its proper divisors (1).

312324323089 is an equidigital number, since it uses as much as digits as its factorization.

312324323089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 186624, while the sum is 40.

The spelling of 312324323089 in words is "three hundred twelve billion, three hundred twenty-four million, three hundred twenty-three thousand, eighty-nine".