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232234032113055 = 325717371172099993
BaseRepresentation
bin110100110011011100110010…
…111111010010010110011111
31010110021100121222212211011200
4310303130302333102112133
5220414410244210104210
62141530501434050543
766626232544450440
oct6463346277222637
91113240558784150
10232234032113055
1167aa6999887655
1222068617579a53
139c77762accb5b
14414c28969d2c7
151bcae17dae0c0
hexd33732fd259f

232234032113055 has 96 divisors (see below), whose sum is σ = 500271031039104. Its totient is φ = 97218661736448.

The previous prime is 232234032113051. The next prime is 232234032113063. The reversal of 232234032113055 is 550311230432232.

232234032113055 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 3 + 403 + 211 + 30 + 5 + 5 = 666.

It is not a de Polignac number, because 232234032113055 - 22 = 232234032113051 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232234032113051) by changing a digit.

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, 585851862 + ... + 586248131.

It is an arithmetic number, because the mean of its divisors is an integer number (5211156573324).

Almost surely, 2232234032113055 is an apocalyptic number.

232234032113055 is an abundant number, since it is smaller than the sum of its proper divisors (268036998926049).

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

232234032113055 is a wasteful number, since it uses less digits than its factorization.

232234032113055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172100065 (or 1172100062 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 232234032113055 its reverse (550311230432232), we get a palindrome (782545262545287).

The spelling of 232234032113055 in words is "two hundred thirty-two trillion, two hundred thirty-four billion, thirty-two million, one hundred thirteen thousand, fifty-five".

Divisors: 1 3 5 7 9 15 17 21 35 37 45 51 63 85 105 111 119 153 185 255 259 315 333 357 555 595 629 765 777 1071 1295 1665 1785 1887 2331 3145 3885 4403 5355 5661 9435 11655 13209 22015 28305 39627 66045 198135 1172099993 3516299979 5860499965 8204699951 10548899937 17581499895 19925699881 24614099853 41023499755 43367699741 52744499685 59777099643 73842299559 99628499405 123070499265 130103099223 139479899167 179331298929 216838498705 298885498215 303573898187 369211497795 390309297669 418439697501 650515496115 697399495835 737250895597 896656494645 910721694561 1255319092503 1517869490935 1951546488345 2092198487505 2211752686791 2732165083683 3686254477985 4553608472805 5160756269179 6276595462515 6635258060373 11058763433955 13660825418415 15482268807537 25803781345895 33176290301865 46446806422611 77411344037685 232234032113055