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313121022377 is a prime number
BaseRepresentation
bin1001000111001110111…
…01111010000110101001
31002221012221110000200212
410203213131322012221
520112232440204002
6355502410110505
731423300530032
oct4434735720651
91087187400625
10313121022377
11110880721649
125082771b435
13236b12c4987
14112259b1a89
158229569352
hex48e777a1a9

313121022377 has 2 divisors, whose sum is σ = 313121022378. Its totient is φ = 313121022376.

The previous prime is 313121022349. The next prime is 313121022391. The reversal of 313121022377 is 773220121313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 288614998441 + 24506023936 = 537229^2 + 156544^2 .

It is an emirp because it is prime and its reverse (773220121313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313121022377 - 230 = 312047280553 is a prime.

It is not a weakly prime, because it can be changed into another prime (313121022077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156560511188 + 156560511189.

It is an arithmetic number, because the mean of its divisors is an integer number (156560511189).

Almost surely, 2313121022377 is an apocalyptic number.

It is an amenable number.

313121022377 is a deficient number, since it is larger than the sum of its proper divisors (1).

313121022377 is an equidigital number, since it uses as much as digits as its factorization.

313121022377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10584, while the sum is 32.

The spelling of 313121022377 in words is "three hundred thirteen billion, one hundred twenty-one million, twenty-two thousand, three hundred seventy-seven".