Search a number
-
+
311147438965009 is a prime number
BaseRepresentation
bin100011010111111001010100…
…0100100101000000100010001
31111210200101221000000201111021
41012233302220210220010101
5311240314423333340014
63021431054332315441
7122352442411331353
oct10657625044500421
91453611830021437
10311147438965009
1190160984776039
122aa9255b912b81
1310480101628aaa
1456b988b5810d3
1525e89d3d62624
hex11afca8928111

311147438965009 has 2 divisors, whose sum is σ = 311147438965010. Its totient is φ = 311147438965008.

The previous prime is 311147438964977. The next prime is 311147438965081. The reversal of 311147438965009 is 900569834741113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 309964721814225 + 1182717150784 = 17605815^2 + 1087528^2 .

It is an emirp because it is prime and its reverse (900569834741113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 311147438965009 - 25 = 311147438964977 is a prime.

It is not a weakly prime, because it can be changed into another prime (311147438965309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155573719482504 + 155573719482505.

It is an arithmetic number, because the mean of its divisors is an integer number (155573719482505).

Almost surely, 2311147438965009 is an apocalyptic number.

It is an amenable number.

311147438965009 is a deficient number, since it is larger than the sum of its proper divisors (1).

311147438965009 is an equidigital number, since it uses as much as digits as its factorization.

311147438965009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19595520, while the sum is 61.

The spelling of 311147438965009 in words is "three hundred eleven trillion, one hundred forty-seven billion, four hundred thirty-eight million, nine hundred sixty-five thousand, nine".