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104512601565141 = 37111459415774597
BaseRepresentation
bin10111110000110110111100…
…011111011010011111010101
3111201001022021220021210001020
4113300312330133122133111
5102144313302000041031
61010140232031151353
731004533460440020
oct2760667437323725
9451038256253036
10104512601565141
11303345aaa44690
12b87b2aa975559
13464165aa4a063
141bb4618c261b7
15c1392c85a096
hex5f0dbc7da7d5

104512601565141 has 64 divisors (see below), whose sum is σ = 173898465269760. Its totient is φ = 54241269960960.

The previous prime is 104512601565137. The next prime is 104512601565193. The reversal of 104512601565141 is 141565106215401.

It is a happy number.

It is not a de Polignac number, because 104512601565141 - 22 = 104512601565137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 104512601565093 and 104512601565102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104512601565041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1400992255 + ... + 1401066851.

It is an arithmetic number, because the mean of its divisors is an integer number (2717163519840).

Almost surely, 2104512601565141 is an apocalyptic number.

104512601565141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104512601565141 is a deficient number, since it is larger than the sum of its proper divisors (69385863704619).

104512601565141 is a wasteful number, since it uses less digits than its factorization.

104512601565141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80234.

The product of its (nonzero) digits is 144000, while the sum is 42.

The spelling of 104512601565141 in words is "one hundred four trillion, five hundred twelve billion, six hundred one million, five hundred sixty-five thousand, one hundred forty-one".

Divisors: 1 3 7 11 21 33 77 231 1459 4157 4377 10213 12471 16049 29099 30639 45727 48147 74597 87297 112343 137181 223791 320089 337029 522179 820567 960267 1566537 2461701 5743969 6065063 17231907 18195189 42455441 66715693 108837023 127366323 200147079 310099729 326511069 467009851 761859161 930299187 1197207253 1401029553 2170698103 2285577483 3411097019 3591621759 6512094309 8380450771 10233291057 23877679133 25141352313 71633037399 452435504611 1357306513833 3167048532277 4976790550721 9501145596831 14930371652163 34837533855047 104512601565141