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312402311134321 = 17374561310888673
BaseRepresentation
bin100011100001000001101010…
…0110010000011110001110001
31111222010100222012101211220211
41013002003110302003301301
5311421344413122244241
63024231350202104121
7122542215332640412
oct10702032462036161
91458110865354824
10312402311134321
11905a5092362091
122b0557b1aab041
13105415471a5b25
1457204d1503809
15261b47aee8781
hex11c20d4c83c71

312402311134321 has 16 divisors (see below), whose sum is σ = 339726367471824. Its totient is φ = 286072765784064.

The previous prime is 312402311134289. The next prime is 312402311134481. The reversal of 312402311134321 is 123431113204213.

It can be written as a sum of positive squares in 8 ways, for example, as 30763262903296 + 281639048231025 = 5546464^2 + 16782105^2 .

It is a cyclic number.

It is not a de Polignac number, because 312402311134321 - 25 = 312402311134289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312402411134321) 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, 23246241 + ... + 34134913.

It is an arithmetic number, because the mean of its divisors is an integer number (21232897966989).

Almost surely, 2312402311134321 is an apocalyptic number.

It is an amenable number.

312402311134321 is a deficient number, since it is larger than the sum of its proper divisors (27324056337503).

312402311134321 is a wasteful number, since it uses less digits than its factorization.

312402311134321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10934340.

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 312402311134321 its reverse (123431113204213), we get a palindrome (435833424338534).

The spelling of 312402311134321 in words is "three hundred twelve trillion, four hundred two billion, three hundred eleven million, one hundred thirty-four thousand, three hundred twenty-one".

Divisors: 1 17 37 629 45613 775421 1687681 10888673 28690577 185107441 402880901 6848975317 496665041549 8443305706333 18376606537313 312402311134321