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23012123232 = 253725998167
BaseRepresentation
bin10101011011101000…
…010010001001100000
32012101202100222112110
4111123220102021200
5334112100420412
614323245355320
71443155551200
oct253350221140
965352328473
1023012123232
11983981a86a
124562868b40
132229745287
141184366400
158ea406d3c
hex55ba12260

23012123232 has 144 divisors (see below), whose sum is σ = 70395091200. Its totient is φ = 6563112192.

The previous prime is 23012123227. The next prime is 23012123243. The reversal of 23012123232 is 23232121032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 23012123199 and 23012123208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2813613 + ... + 2821779.

It is an arithmetic number, because the mean of its divisors is an integer number (488854800).

Almost surely, 223012123232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23012123232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35197545600).

23012123232 is an abundant number, since it is smaller than the sum of its proper divisors (47382967968).

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

23012123232 is a wasteful number, since it uses less digits than its factorization.

23012123232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8793 (or 8778 counting only the distinct ones).

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

Adding to 23012123232 its reverse (23232121032), we get a palindrome (46244244264).

The spelling of 23012123232 in words is "twenty-three billion, twelve million, one hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 599 672 784 1176 1198 1568 1797 2352 2396 3594 4193 4704 4792 7188 8167 8386 9584 12579 14376 16334 16772 19168 24501 25158 28752 29351 32668 33544 49002 50316 57169 57504 58702 65336 67088 88053 98004 100632 114338 117404 130672 134176 171507 176106 196008 201264 228676 234808 261344 343014 352212 392016 400183 402528 457352 469616 686028 704424 784032 800366 914704 939232 1200549 1372056 1408848 1600732 1829408 2401098 2744112 2817696 3201464 4802196 4892033 5488224 6402928 9604392 9784066 12805856 14676099 19208784 19568132 29352198 34244231 38417568 39136264 58704396 68488462 78272528 102732693 117408792 136976924 156545056 205465386 234817584 239709617 273953848 410930772 469635168 479419234 547907696 719128851 821861544 958838468 1095815392 1438257702 1643723088 1917676936 2876515404 3287446176 3835353872 5753030808 7670707744 11506061616 23012123232