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232033112230231 = 131931536143321647
BaseRepresentation
bin110100110000100001101011…
…001110110000100101010111
31010102120011000112200020200001
4310300201223032300211113
5220403112303212331411
62141254312403432131
766605560553564344
oct6460415316604527
91112504015606601
10232033112230231
1167a29765843914
12220356a3985647
139c61823045320
1441426693677cb
151bc5aa8cd1dc1
hexd3086b3b0957

232033112230231 has 128 divisors (see below), whose sum is σ = 281838921154560. Its totient is φ = 189056233267200.

The previous prime is 232033112230223. The next prime is 232033112230261. The reversal of 232033112230231 is 132032211330232.

It is a happy number.

It is not a de Polignac number, because 232033112230231 - 23 = 232033112230223 is a prime.

It is a super-2 number, since 2×2320331122302312 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 232033112230231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232033112230201) 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 127 ways as a sum of consecutive naturals, for example, 10718939250 + ... + 10718960896.

It is an arithmetic number, because the mean of its divisors is an integer number (2201866571520).

Almost surely, 2232033112230231 is an apocalyptic number.

232033112230231 is a deficient number, since it is larger than the sum of its proper divisors (49805808924329).

232033112230231 is a wasteful number, since it uses less digits than its factorization.

232033112230231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22257.

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 232033112230231 its reverse (132032211330232), we get a palindrome (364065323560463).

The spelling of 232033112230231 in words is "two hundred thirty-two trillion, thirty-three billion, one hundred twelve million, two hundred thirty thousand, two hundred thirty-one".

Divisors: 1 13 19 31 53 61 247 403 433 589 689 793 1007 1159 1643 1891 3233 5629 7657 8227 13091 13423 15067 21359 21647 22949 24583 26413 31217 35929 42029 61427 100223 106951 174499 255037 281411 298337 343369 405821 411293 436031 467077 501847 671057 711419 798551 818803 1147291 1302899 1320467 1399889 1904237 3315481 5346809 5668403 6524011 8723741 9248447 9373151 10644439 12750083 13516961 14914783 15557257 17166071 18198557 21798529 24755081 25088873 26597891 35566021 40934477 43396559 69984751 121850963 165751079 175720493 178089869 202244341 283380877 290567681 326155349 345772583 462358273 496777003 532148201 564155267 571762211 675754399 777755063 824534621 909801763 1329710269 2169527281 2315168297 3777379853 5520785939 6458101039 7432908743 8784807187 9438763057 10110815819 10718950073 10863482009 15400087093 17286233497 17724628541 28203854653 30303397183 41221018339 71770217207 122703919741 141225266117 200201132209 230420171033 292601654767 336767942279 393944163379 535873238407 575764546477 939405312673 3803821511971 4377983249627 7484939104201 12212269064749 17848700940787 232033112230231