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23131130112 = 283213972227
BaseRepresentation
bin10101100010101110…
…010000100100000000
32012201001022011021200
4111202232100210000
5334333032130422
614343140221200
71446132235056
oct254256204400
965631264250
1023131130112
11989aa13462
12459669a800
1322482b214c
1411960a41d6
15905ab32ac
hex562b90900

23131130112 has 108 divisors (see below), whose sum is σ = 67173484560. Its totient is φ = 7654800384.

The previous prime is 23131130111. The next prime is 23131130131. The reversal of 23131130112 is 21103113132.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (23131130111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 284143 + ... + 356369.

Almost surely, 223131130112 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 23131130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33586742280).

23131130112 is an abundant number, since it is smaller than the sum of its proper divisors (44042354448).

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

23131130112 is a wasteful number, since it uses less digits than its factorization.

23131130112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72388 (or 72371 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 23131130112 its reverse (21103113132), we get a palindrome (44234243244).

The spelling of 23131130112 in words is "twenty-three billion, one hundred thirty-one million, one hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 139 144 192 256 278 288 384 417 556 576 768 834 1112 1152 1251 1668 2224 2304 2502 3336 4448 5004 6672 8896 10008 13344 17792 20016 26688 35584 40032 53376 72227 80064 106752 144454 160128 216681 288908 320256 433362 577816 650043 866724 1155632 1300086 1733448 2311264 2600172 3466896 4622528 5200344 6933792 9245056 10039553 10400688 13867584 18490112 20079106 20801376 27735168 30118659 40158212 41602752 55470336 60237318 80316424 83205504 90355977 120474636 160632848 166411008 180711954 240949272 321265696 361423908 481898544 642531392 722847816 963797088 1285062784 1445695632 1927594176 2570125568 2891391264 3855188352 5782782528 7710376704 11565565056 23131130112