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20231302120032 = 2531799712433933
BaseRepresentation
bin1001001100110011101111…
…00100111000001001100000
32122122002112020012122102010
410212121313210320021200
510122432201320320112
6111010044253152520
74155443345425023
oct446316744701140
978562466178363
1020231302120032
1164a0057688323
122328b6618b740
13b39a5a695c13
144dd2b369b1ba
152513e13e263c
hex126677938260

20231302120032 has 96 divisors (see below), whose sum is σ = 56287523974752. Its totient is φ = 6340708491264.

The previous prime is 20231302120019. The next prime is 20231302120069. The reversal of 20231302120032 is 23002120313202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×202313021200322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20231302119990 and 20231302120008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4589863 + ... + 7844070.

It is an arithmetic number, because the mean of its divisors is an integer number (586328374737).

Almost surely, 220231302120032 is an apocalyptic number.

It is an amenable number.

20231302120032 is an abundant number, since it is smaller than the sum of its proper divisors (36056221854720).

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

20231302120032 is a wasteful number, since it uses less digits than its factorization.

20231302120032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12434960 (or 12434952 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 20231302120032 its reverse (23002120313202), we get a palindrome (43233422433234).

The spelling of 20231302120032 in words is "twenty trillion, two hundred thirty-one billion, three hundred two million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 997 1632 1994 2991 3988 5982 7976 11964 15952 16949 23928 31904 33898 47856 50847 67796 95712 101694 135592 203388 271184 406776 542368 813552 1627104 12433933 24867866 37301799 49735732 74603598 99471464 149207196 198942928 211376861 298414392 397885856 422753722 596828784 634130583 845507444 1193657568 1268261166 1691014888 2536522332 3382029776 5073044664 6764059552 10146089328 12396631201 20292178656 24793262402 37189893603 49586524804 74379787206 99173049608 148759574412 198346099216 210742730417 297519148824 396692198432 421485460834 595038297648 632228191251 842970921668 1190076595296 1264456382502 1685941843336 2528912765004 3371883686672 5057825530008 6743767373344 10115651060016 20231302120032