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113541032431215 = 325371699349911471
BaseRepresentation
bin11001110100001111010100…
…111001111100111001101111
3112220000102020202210020200100
4121310033110321330321233
5104340224013300244330
61041252010310002143
732626032425540544
oct3164172471747157
9486012222706610
10113541032431215
11331a5532887244
121089901a046353
134b47b47b8530c
1420075b57b8bcb
15d1d6e200c060
hex6743d4e7ce6f

113541032431215 has 96 divisors (see below), whose sum is σ = 202317897600000. Its totient is φ = 58861950808320.

The previous prime is 113541032431207. The next prime is 113541032431313. The reversal of 113541032431215 is 512134230145311.

113541032431215 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 4 + 1 + 0 + 3 + 2 + 431 + 215 = 666.

It is not a de Polignac number, because 113541032431215 - 23 = 113541032431207 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 113541032431215.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9898087930 + ... + 9898099400.

It is an arithmetic number, because the mean of its divisors is an integer number (2107478100000).

Almost surely, 2113541032431215 is an apocalyptic number.

113541032431215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

113541032431215 is a deficient number, since it is larger than the sum of its proper divisors (88776865168785).

113541032431215 is a wasteful number, since it uses less digits than its factorization.

113541032431215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16717 (or 16714 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 113541032431215 its reverse (512134230145311), we get a palindrome (625675262576526).

The spelling of 113541032431215 in words is "one hundred thirteen trillion, five hundred forty-one billion, thirty-two million, four hundred thirty-one thousand, two hundred fifteen".

Divisors: 1 3 5 9 15 37 45 111 185 333 555 1665 1699 3499 5097 8495 10497 11471 15291 17495 25485 31491 34413 52485 57355 62863 76455 103239 129463 157455 172065 188589 314315 388389 424427 516195 565767 647315 942945 1165167 1273281 1941945 2122135 2828835 3819843 5825835 5944801 6366405 17834403 19099215 19489229 29724005 40137029 53503209 58467687 89172015 97446145 120411087 175403061 200685145 219957637 267516045 292338435 361233261 602055435 659872911 721101473 877015305 1099788185 1485070073 1806166305 1979618733 2163304419 3299364555 3605507365 4455210219 6489913257 7425350365 9898093665 10816522095 13365630657 22276051095 32449566285 66828153285 68192812271 204578436813 340964061355 613735310439 1022892184065 2523134054027 3068676552195 7569402162081 12615670270135 22708206486243 37847010810405 113541032431215