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312412303121 = 5397222127361
BaseRepresentation
bin1001000101111010011…
…10010110111100010001
31002212101112212100122112
410202331032112330101
520104310022144441
6355304211515105
731366603522112
oct4427516267421
91085345770575
10312412303121
11110547667356
125066a2b8a95
13235ca521979
1411199808209
1581d72234eb
hex48bd396f11

312412303121 has 16 divisors (see below), whose sum is σ = 321744942288. Its totient is φ = 303210086400.

The previous prime is 312412303087. The next prime is 312412303123. The reversal of 312412303121 is 121303214213.

It can be written as a sum of positive squares in 8 ways, for example, as 16753678096 + 295658625025 = 129436^2 + 543745^2 .

It is a cyclic number.

It is not a de Polignac number, because 312412303121 - 26 = 312412303057 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (312412303123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11404481 + ... + 11431841.

It is an arithmetic number, because the mean of its divisors is an integer number (20109058893).

Almost surely, 2312412303121 is an apocalyptic number.

It is an amenable number.

312412303121 is a deficient number, since it is larger than the sum of its proper divisors (9332639167).

312412303121 is a wasteful number, since it uses less digits than its factorization.

312412303121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29732.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 312412303121 its reverse (121303214213), we get a palindrome (433715517334).

The spelling of 312412303121 in words is "three hundred twelve billion, four hundred twelve million, three hundred three thousand, one hundred twenty-one".

Divisors: 1 53 97 2221 5141 27361 117713 215437 1450133 2654017 11418161 60768781 140662901 3220745393 5894571757 312412303121