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313121113239 = 311831131011677
BaseRepresentation
bin1001000111001110111…
…10010000010010010111
31002221012221121122100010
410203213132100102113
520112233001110424
6355502412051303
731423301355654
oct4434736202227
91087187548303
10313121113239
11110880783940
1250827763b33
13236b132713c
14112259d6c2b
158229586229
hex48e7790497

313121113239 has 32 divisors (see below), whose sum is σ = 465015769344. Its totient is φ = 185824647680.

The previous prime is 313121113231. The next prime is 313121113247. The reversal of 313121113239 is 932311121313.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (313121113231) and next prime (313121113247).

It is a cyclic number.

It is not a de Polignac number, because 313121113239 - 23 = 313121113231 is a prime.

It is a super-2 number, since 2×3131211132392 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313121113231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196332 + ... + 815345.

It is an arithmetic number, because the mean of its divisors is an integer number (14531742792).

Almost surely, 2313121113239 is an apocalyptic number.

313121113239 is a deficient number, since it is larger than the sum of its proper divisors (151894656105).

313121113239 is a wasteful number, since it uses less digits than its factorization.

313121113239 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011887.

The product of its digits is 2916, while the sum is 30.

The spelling of 313121113239 in words is "three hundred thirteen billion, one hundred twenty-one million, one hundred thirteen thousand, two hundred thirty-nine".

Divisors: 1 3 11 33 83 113 249 339 913 1243 2739 3729 9379 28137 103169 309507 1011677 3035031 11128447 33385341 83969191 114319501 251907573 342958503 923661101 1257514511 2770983303 3772543533 9488518583 28465555749 104373704413 313121113239