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312142516131 = 32915123760563
BaseRepresentation
bin1001000101011010010…
…01001100111110100011
31002211200202012202110210
410202231021030332203
520103231441004011
6355221333225203
731360116416115
oct4425511147643
91084622182423
10312142516131
111104193493a6
12505b3a92203
1323586671ab4
1411171a5b3b5
1581bd6d16a6
hex48ad24cfa3

312142516131 has 16 divisors (see below), whose sum is σ = 433392687360. Its totient is φ = 199588720800.

The previous prime is 312142516123. The next prime is 312142516151. The reversal of 312142516131 is 131615241213.

It is not a de Polignac number, because 312142516131 - 23 = 312142516123 is a prime.

It is a super-2 number, since 2×3121425161312 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (312142516111) 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, 11867145 + ... + 11893418.

It is an arithmetic number, because the mean of its divisors is an integer number (27087042960).

Almost surely, 2312142516131 is an apocalyptic number.

312142516131 is a deficient number, since it is larger than the sum of its proper divisors (121250171229).

312142516131 is a wasteful number, since it uses less digits than its factorization.

312142516131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23760746.

The product of its digits is 4320, while the sum is 30.

Adding to 312142516131 its reverse (131615241213), we get a palindrome (443757757344).

The spelling of 312142516131 in words is "three hundred twelve billion, one hundred forty-two million, five hundred sixteen thousand, one hundred thirty-one".

Divisors: 1 3 29 87 151 453 4379 13137 23760563 71281689 689056327 2067168981 3587845013 10763535039 104047505377 312142516131