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312310123131 = 33135350318913
BaseRepresentation
bin1001000101101110010…
…00100100101001111011
31002212010102121002001110
410202313020210221323
520104102342420011
6355250121451403
731364223150216
oct4426710445173
91085112532043
10312310123131
111104a4a16a86
1250640040b63
13235b22c6b36
141118a00a77d
1581cd28cba6
hex48b7224a7b

312310123131 has 32 divisors (see below), whose sum is σ = 431943708672. Its totient is φ = 200509562880.

The previous prime is 312310123067. The next prime is 312310123171. The reversal of 312310123131 is 131321013213.

It is a happy number.

It is not a de Polignac number, because 312310123131 - 26 = 312310123067 is a prime.

It is a super-2 number, since 2×3123101231312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312310123098 and 312310123107.

It is not an unprimeable number, because it can be changed into a prime (312310123171) 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, 16503531 + ... + 16522443.

It is an arithmetic number, because the mean of its divisors is an integer number (13498240896).

Almost surely, 2312310123131 is an apocalyptic number.

312310123131 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

312310123131 is a deficient number, since it is larger than the sum of its proper divisors (119633585541).

312310123131 is a wasteful number, since it uses less digits than its factorization.

312310123131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19803.

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

Adding to 312310123131 its reverse (131321013213), we get a palindrome (443631136344).

The spelling of 312310123131 in words is "three hundred twelve billion, three hundred ten million, one hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 3 31 93 353 503 1059 1509 10943 15593 18913 32829 46779 56739 177559 532677 586303 1758909 5504329 6676289 9513239 16512987 20028867 28539717 206964959 294910409 620894877 884731227 3358173367 10074520101 104103374377 312310123131