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312001142034114 = 232131333338213821
BaseRepresentation
bin100011011110000110110110…
…1001111011000111011000010
31111220201000111000222000221100
41012330031231033120323002
5311343311314330042424
63023323202420035230
7122501224103565111
oct10674155517307302
91456630430860840
10312001142034114
119045aa39909475
122ababab3232b16
13105127735a1a20
145708d15d75c78
152610cebb69dc9
hex11bc36d3d8ec2

312001142034114 has 24 divisors (see below), whose sum is σ = 728002664746812. Its totient is φ = 96000351395040.

The previous prime is 312001142034097. The next prime is 312001142034121. The reversal of 312001142034114 is 411430241100213.

It is a happy number.

312001142034114 is a `hidden beast` number, since 3 + 1 + 200 + 1 + 1 + 42 + 0 + 3 + 411 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 306830679995889 + 5170462038225 = 17516583^2 + 2273865^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 666669106677 + ... + 666669107144.

Almost surely, 2312001142034114 is an apocalyptic number.

312001142034114 is an abundant number, since it is smaller than the sum of its proper divisors (416001522712698).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312001142034114 is a wasteful number, since it uses less digits than its factorization.

312001142034114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333338213842 (or 1333338213839 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 312001142034114 its reverse (411430241100213), we get a palindrome (723431383134327).

The spelling of 312001142034114 in words is "three hundred twelve trillion, one billion, one hundred forty-two million, thirty-four thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 1333338213821 2666676427642 4000014641463 8000029282926 12000043924389 17333396779673 24000087848778 34666793559346 52000190339019 104000380678038 156000571017057 312001142034114