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313130122129 = 1122710995461
BaseRepresentation
bin1001000111010000000…
…00100111101110010001
31002221020120120100012201
410203220000213232101
520112242302402004
6355503333123201
731423441056646
oct4435000475621
91087216510181
10313130122129
11110885877400
125082a789501
13236b315c846
1411226c9ddcd
15822a2656a4
hex48e8027b91

313130122129 has 12 divisors (see below), whose sum is σ = 344200651060. Its totient is φ = 284650264800.

The previous prime is 313130122087. The next prime is 313130122169. The reversal of 313130122129 is 921221031313.

It can be written as a sum of positive squares in 2 ways, for example, as 150094256400 + 163035865729 = 387420^2 + 403777^2 .

It is not a de Polignac number, because 313130122129 - 219 = 313129597841 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 313130122097 and 313130122106.

It is not an unprimeable number, because it can be changed into a prime (313130122169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3232459 + ... + 3327919.

Almost surely, 2313130122129 is an apocalyptic number.

It is an amenable number.

313130122129 is a deficient number, since it is larger than the sum of its proper divisors (31070528931).

313130122129 is a wasteful number, since it uses less digits than its factorization.

313130122129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122592 (or 122581 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The spelling of 313130122129 in words is "three hundred thirteen billion, one hundred thirty million, one hundred twenty-two thousand, one hundred twenty-nine".

Divisors: 1 11 121 27109 95461 298199 1050071 3280189 11550781 2587852249 28466374739 313130122129