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232004110023231 = 37132959349417451
BaseRepresentation
bin110100110000000110101010…
…100100000111101000111111
31010102110101011022220110222020
4310300012222210013220333
5220402123404131220411
62141233114453451223
766603513061105110
oct6460065244075077
91112411138813866
10232004110023231
1167a184328564a7
122202bb4b040b13
139c5bb805c69b0
1441410b7654207
151bc4e5caa0606
hexd301aa907a3f

232004110023231 has 64 divisors (see below), whose sum is σ = 394517309598720. Its totient is φ = 117956685772800.

The previous prime is 232004110023229. The next prime is 232004110023239. The reversal of 232004110023231 is 132320011400232.

It is not a de Polignac number, because 232004110023231 - 21 = 232004110023229 is a prime.

It is a super-2 number, since 2×2320041100232312 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232004110023239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20013945 + ... + 29403506.

It is an arithmetic number, because the mean of its divisors is an integer number (6164332962480).

Almost surely, 2232004110023231 is an apocalyptic number.

232004110023231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

232004110023231 is a deficient number, since it is larger than the sum of its proper divisors (162513199575489).

232004110023231 is a wasteful number, since it uses less digits than its factorization.

232004110023231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49418096.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 232004110023231 its reverse (132320011400232), we get a palindrome (364324121423463).

The spelling of 232004110023231 in words is "two hundred thirty-two trillion, four billion, one hundred ten million, twenty-three thousand, two hundred thirty-one".

Divisors: 1 3 7 13 21 29 39 87 91 203 273 377 593 609 1131 1779 2639 4151 7709 7917 12453 17197 23127 51591 53963 120379 161889 223561 361137 670683 1564927 4694781 49417451 148252353 345922157 642426863 1037766471 1433106079 1927280589 4299318237 4496988041 10031742553 13490964123 18630379027 29304548443 30095227659 55891137081 87913645329 130412653189 205131839101 380959129759 391237959567 615395517303 849831904847 1142877389277 2549495714541 2666713908313 5948823333929 8000141724939 11047814763011 17846470001787 33143444289033 77334703341077 232004110023231