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313110311309 is a prime number
BaseRepresentation
bin1001000111001101101…
…01000011000110001101
31002221012012021211212122
410203212311003012031
520112222214430214
6355501344342325
731423110506315
oct4434665030615
91087165254778
10313110311309
11110875676224
12508240149a5
13236ac014573
14112243c4445
15822865088e
hex48e6d4318d

313110311309 has 2 divisors, whose sum is σ = 313110311310. Its totient is φ = 313110311308.

The previous prime is 313110311281. The next prime is 313110311333. The reversal of 313110311309 is 903113011313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 161961978025 + 151148333284 = 402445^2 + 388778^2 .

It is a cyclic number.

It is not a de Polignac number, because 313110311309 - 28 = 313110311053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313110311609) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156555155654 + 156555155655.

It is an arithmetic number, because the mean of its divisors is an integer number (156555155655).

Almost surely, 2313110311309 is an apocalyptic number.

It is an amenable number.

313110311309 is a deficient number, since it is larger than the sum of its proper divisors (1).

313110311309 is an equidigital number, since it uses as much as digits as its factorization.

313110311309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 729, while the sum is 26.

The spelling of 313110311309 in words is "three hundred thirteen billion, one hundred ten million, three hundred eleven thousand, three hundred nine".