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311351488013 is a prime number
BaseRepresentation
bin1001000011111011111…
…11101010111000001101
31002202122121202100220002
410201331333222320031
520100121440104023
6355011034534045
731331402660516
oct4417577527015
91082577670802
10311351488013
11110052886255
1250412b97325
132348b810817
14110d8989a0d
15817402cb28
hex487dfeae0d

311351488013 has 2 divisors, whose sum is σ = 311351488014. Its totient is φ = 311351488012.

The previous prime is 311351488009. The next prime is 311351488079. The reversal of 311351488013 is 310884153113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 229405555369 + 81945932644 = 478963^2 + 286262^2 .

It is a cyclic number.

It is not a de Polignac number, because 311351488013 - 22 = 311351488009 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311356488013) 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, 155675744006 + 155675744007.

It is an arithmetic number, because the mean of its divisors is an integer number (155675744007).

Almost surely, 2311351488013 is an apocalyptic number.

It is an amenable number.

311351488013 is a deficient number, since it is larger than the sum of its proper divisors (1).

311351488013 is an equidigital number, since it uses as much as digits as its factorization.

311351488013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 38.

The spelling of 311351488013 in words is "three hundred eleven billion, three hundred fifty-one million, four hundred eighty-eight thousand, thirteen".