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313122131209 is a prime number
BaseRepresentation
bin1001000111001111000…
…10001000110100001001
31002221020000112100201201
410203213202020310021
520112233231144314
6355502445544201
731423313125546
oct4434742106411
91087200470651
10313122131209
11110881309738
1250827b75061
13236b15c25a4
1411225bbdbcd
1582296d7b74
hex48e7888d09

313122131209 has 2 divisors, whose sum is σ = 313122131210. Its totient is φ = 313122131208.

The previous prime is 313122131207. The next prime is 313122131213. The reversal of 313122131209 is 902131221313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 312028374025 + 1093757184 = 558595^2 + 33072^2 .

It is a cyclic number.

It is not a de Polignac number, because 313122131209 - 21 = 313122131207 is a prime.

Together with 313122131207, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (313122131207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156561065604 + 156561065605.

It is an arithmetic number, because the mean of its divisors is an integer number (156561065605).

Almost surely, 2313122131209 is an apocalyptic number.

It is an amenable number.

313122131209 is a deficient number, since it is larger than the sum of its proper divisors (1).

313122131209 is an equidigital number, since it uses as much as digits as its factorization.

313122131209 is an evil number, because the sum of its binary digits is even.

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

The spelling of 313122131209 in words is "three hundred thirteen billion, one hundred twenty-two million, one hundred thirty-one thousand, two hundred nine".