Search a number
-
+
312527740397 is a prime number
BaseRepresentation
bin1001000110001000001…
…10101101110111101101
31002212200121002011211012
410203010012231313231
520110024100143042
6355323454035005
731402504650665
oct4430406556755
91085617064735
10312527740397
111105a6842064
12506a0aa8a65
132361840bb52
14111aac971a5
1581e2426e82
hex48c41added

312527740397 has 2 divisors, whose sum is σ = 312527740398. Its totient is φ = 312527740396.

The previous prime is 312527740307. The next prime is 312527740477. The reversal of 312527740397 is 793047725213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 286116940201 + 26410800196 = 534899^2 + 162514^2 .

It is a cyclic number.

It is not a de Polignac number, because 312527740397 - 216 = 312527674861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312527740307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156263870198 + 156263870199.

It is an arithmetic number, because the mean of its divisors is an integer number (156263870199).

Almost surely, 2312527740397 is an apocalyptic number.

It is an amenable number.

312527740397 is a deficient number, since it is larger than the sum of its proper divisors (1).

312527740397 is an equidigital number, since it uses as much as digits as its factorization.

312527740397 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2222640, while the sum is 50.

The spelling of 312527740397 in words is "three hundred twelve billion, five hundred twenty-seven million, seven hundred forty thousand, three hundred ninety-seven".