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23123130112 = 281921511657
BaseRepresentation
bin10101100010001111…
…101111011100000000
32012200111020201100101
4111202033233130000
5334324010130422
614342252532144
71446004235335
oct254217573400
965614221311
1023123130112
119896449995
124593a81054
132246740a14
141194dc098c
15905032c27
hex5623ef700

23123130112 has 108 divisors (see below), whose sum is σ = 49065247056. Its totient is φ = 10873958400.

The previous prime is 23123130097. The next prime is 23123130137. The reversal of 23123130112 is 21103132132.

It is a super-2 number, since 2×231231301122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 23123130112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13953988 + ... + 13955644.

Almost surely, 223123130112 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 23123130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24532623528).

23123130112 is an abundant number, since it is smaller than the sum of its proper divisors (25942116944).

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

23123130112 is a wasteful number, since it uses less digits than its factorization.

23123130112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 23123130112 its reverse (21103132132), we get a palindrome (44226262244).

The spelling of 23123130112 in words is "twenty-three billion, one hundred twenty-three million, one hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 151 152 256 302 304 361 604 608 722 1208 1216 1444 1657 2416 2432 2869 2888 3314 4832 4864 5738 5776 6628 9664 11476 11552 13256 19328 22952 23104 26512 31483 38656 45904 46208 53024 54511 62966 91808 92416 106048 109022 125932 183616 212096 218044 250207 251864 367232 424192 436088 500414 503728 598177 734464 872176 1000828 1007456 1196354 1744352 2001656 2014912 2392708 3488704 4003312 4029824 4753933 4785416 6977408 8006624 8059648 9507866 9570832 13954816 16013248 19015732 19141664 32026496 38031464 38283328 64052992 76062928 76566656 90324727 152125856 153133312 180649454 304251712 361298908 608503424 722597816 1217006848 1445195632 2890391264 5780782528 11561565056 23123130112