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110231252132011 = 17412532712991
BaseRepresentation
bin11001000100000100110110…
…101000000110000010101011
3112110022000010111020021012021
4121010010312220012002223
5103422012101021211021
61030235312123325311
732134642121305213
oct3104046650060253
9473260114207167
10110231252132011
11321398a211876a
121044367b380837
1349679bb20082a
141d3131488b243
15cb257b697c41
hex644136a060ab

110231252132011 has 72 divisors (see below), whose sum is σ = 122463678715776. Its totient is φ = 98840611584000.

The previous prime is 110231252131997. The next prime is 110231252132041.

110231252132011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 110231252132011 - 29 = 110231252131499 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110231252132041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 111232342726 + ... + 111232343716.

It is an arithmetic number, because the mean of its divisors is an integer number (1700884426608).

Almost surely, 2110231252132011 is an apocalyptic number.

110231252132011 is a deficient number, since it is larger than the sum of its proper divisors (12232426583765).

110231252132011 is an frugal number, since it uses more digits than its factorization.

110231252132011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The spelling of 110231252132011 in words is "one hundred ten trillion, two hundred thirty-one billion, two hundred fifty-two million, one hundred thirty-two thousand, eleven".

Divisors: 1 17 41 53 271 697 901 991 1681 2173 4607 11111 14363 16847 28577 36941 40631 52523 73441 89093 188887 244171 268561 455551 588883 690727 892891 1248497 1514581 1665871 2153443 3011081 3892373 4565537 7744367 10011011 11011001 14233733 24144203 28319807 36608531 51188377 66170341 72780031 88291163 123454321 159587293 187187017 241973461 410451451 451451041 583583053 1237260527 1500949771 2098723457 2712983981 2983981271 3857341643 6543079013 7674667697 9920911901 23926905173 50727681607 65574807931 111232343221 122343232111 158151007363 406757387941 2079834945887 2688567125171 6484191301883 110231252132011