Search a number
-
+
311357505101 is a prime number
BaseRepresentation
bin1001000011111100101…
…10100111111001001101
31002202200001002001210012
410201332112213321031
520100130010130401
6355011411523005
731331505061166
oct4417626477115
91082601061705
10311357505101
11110056215a55
1250414bb9465
132348cb39526
14110d96b476d
15817481a8bb
hex487e5a7e4d

311357505101 has 2 divisors, whose sum is σ = 311357505102. Its totient is φ = 311357505100.

The previous prime is 311357505061. The next prime is 311357505163. The reversal of 311357505101 is 101505753113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 206569341001 + 104788164100 = 454499^2 + 323710^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-311357505101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311357505401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155678752550 + 155678752551.

It is an arithmetic number, because the mean of its divisors is an integer number (155678752551).

Almost surely, 2311357505101 is an apocalyptic number.

It is an amenable number.

311357505101 is a deficient number, since it is larger than the sum of its proper divisors (1).

311357505101 is an equidigital number, since it uses as much as digits as its factorization.

311357505101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7875, while the sum is 32.

The spelling of 311357505101 in words is "three hundred eleven billion, three hundred fifty-seven million, five hundred five thousand, one hundred one".