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230123212013022 = 234383103169961409
BaseRepresentation
bin110100010100101110111100…
…010011100111110111011110
31010011210120020022110121002020
4310110232330103213313132
5220130314314233404042
62133233051045441010
766320565501601626
oct6424567423476736
91104716208417066
10230123212013022
1167362784977439
1221987506110166
139b536ab19bbc3
1440b8046b4b886
151b91075ce13ec
hexd14bbc4e7dde

230123212013022 has 128 divisors (see below), whose sum is σ = 481542437376000. Its totient is φ = 73258150339584.

The previous prime is 230123212013003. The next prime is 230123212013147. The reversal of 230123212013022 is 220310212321032.

It is a junction number, because it is equal to n+sod(n) for n = 230123212012983 and 230123212013001.

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 63 ways as a sum of consecutive naturals, for example, 3747355054 + ... + 3747416462.

It is an arithmetic number, because the mean of its divisors is an integer number (3762050292000).

Almost surely, 2230123212013022 is an apocalyptic number.

230123212013022 is an abundant number, since it is smaller than the sum of its proper divisors (251419225362978).

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

230123212013022 is a wasteful number, since it uses less digits than its factorization.

230123212013022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63342.

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

Adding to 230123212013022 its reverse (220310212321032), we get a palindrome (450433424334054).

The spelling of 230123212013022 in words is "two hundred thirty trillion, one hundred twenty-three billion, two hundred twelve million, thirteen thousand, twenty-two".

Divisors: 1 2 3 6 43 83 86 103 129 166 206 249 258 309 498 618 1699 3398 3569 4429 5097 7138 8549 8858 10194 10707 13287 17098 21414 25647 26574 51294 61409 73057 122818 141017 146114 174997 184227 219171 282034 349994 367607 368454 423051 438342 524991 735214 846102 1049982 1102821 2205642 2640587 5096947 5281174 6063731 6325127 7524871 7921761 10193894 12127462 12650254 14524751 15049742 15290841 15843522 18191193 18975381 22574613 29049502 30581682 36382386 37950762 43574253 45149226 87148506 104333891 208667782 219168721 271980461 313001673 438337442 524985541 543960922 624564293 626003346 657506163 815941383 1049971082 1249128586 1315012326 1574956623 1631882766 1873692879 3149913246 3747385758 4486357313 8659712953 8972714626 10746390773 13459071939 17319425906 21492781546 22574378263 25979138859 26918143878 32239172319 45148756526 51958277718 64478344638 67723134789 135446269578 372367656979 462094803239 744735313958 891950434159 924189606478 1117102970937 1386284409717 1783900868318 2234205941874 2675851302477 2772568819434 5351702604954 38353868668837 76707737337674 115061606006511 230123212013022