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311310323121 = 3738338705747
BaseRepresentation
bin1001000011110111000…
…10101000110110110001
31002202112202021222021110
410201323202220312301
520100030420314441
6355003004343533
731330363041330
oct4417342506661
91082482258243
10311310323121
1111003161a486
1250401244ba9
13234831299b5
14110d3311d17
1581705eab16
hex487b8a8db1

311310323121 has 16 divisors (see below), whose sum is σ = 475616231424. Its totient is φ = 177427139664.

The previous prime is 311310323089. The next prime is 311310323147. The reversal of 311310323121 is 121323013113.

It is a happy number.

It is not a de Polignac number, because 311310323121 - 25 = 311310323089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (311310323161) 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 15 ways as a sum of consecutive naturals, for example, 19344831 + ... + 19360916.

It is an arithmetic number, because the mean of its divisors is an integer number (29726014464).

Almost surely, 2311310323121 is an apocalyptic number.

It is an amenable number.

311310323121 is a deficient number, since it is larger than the sum of its proper divisors (164305908303).

311310323121 is a wasteful number, since it uses less digits than its factorization.

311310323121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38706140.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 311310323121 its reverse (121323013113), we get a palindrome (432633336234).

The spelling of 311310323121 in words is "three hundred eleven billion, three hundred ten million, three hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 3 7 21 383 1149 2681 8043 38705747 116117241 270940229 812820687 14824301101 44472903303 103770107707 311310323121