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23322133113312 = 25311171299138431
BaseRepresentation
bin1010100110110000110110…
…11101011010100111100000
310001120120111120000110110110
411103120123131122213200
511024102212034111222
6121334012352131320
74624653125405445
oct523303335324740
9101516446013413
1023322133113312
1174819521546a0
122747b9b236b40
131002363230097
145a8b239a79cc
152a69dee0d30c
hex15361b75a9e0

23322133113312 has 96 divisors (see below), whose sum is σ = 70714703130624. Its totient is φ = 6651588761600.

The previous prime is 23322133113281. The next prime is 23322133113317. The reversal of 23322133113312 is 21331133122332.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 23322133113312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23322133113317) 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 15 ways as a sum of consecutive naturals, for example, 649551264 + ... + 649587167.

It is an arithmetic number, because the mean of its divisors is an integer number (736611490944).

Almost surely, 223322133113312 is an apocalyptic number.

23322133113312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23322133113312 is an abundant number, since it is smaller than the sum of its proper divisors (47392570017312).

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

23322133113312 is a wasteful number, since it uses less digits than its factorization.

23322133113312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299138472 (or 1299138464 counting only the distinct ones).

The product of its digits is 11664, while the sum is 30.

Adding to 23322133113312 its reverse (21331133122332), we get a palindrome (44653266235644).

The spelling of 23322133113312 in words is "twenty-three trillion, three hundred twenty-two billion, one hundred thirty-three million, one hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 66 68 88 96 102 132 136 176 187 204 264 272 352 374 408 528 544 561 748 816 1056 1122 1496 1632 2244 2992 4488 5984 8976 17952 1299138431 2598276862 3897415293 5196553724 7794830586 10393107448 14290522741 15589661172 20786214896 22085353327 28581045482 31179322344 41572429792 42871568223 44170706654 57162090964 62358644688 66256059981 85743136446 88341413308 114324181928 124717289376 132512119962 171486272892 176682826616 228648363856 242938886597 265024239924 342972545784 353365653232 457296727712 485877773194 530048479848 685945091568 706731306464 728816659791 971755546388 1060096959696 1371890183136 1457633319582 1943511092776 2120193919392 2915266639164 3887022185552 5830533278328 7774044371104 11661066556656 23322133113312