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23013122080 = 2551327111987
BaseRepresentation
bin10101011011101100…
…000110000000100000
32012101211020201200211
4111123230012000200
5334112324401310
614323323023504
71443200211244
oct253354060040
965354221624
1023013122080
11983a342263
12456306ab94
132229a04b00
141184546424
158ea552c8a
hex55bb06020

23013122080 has 144 divisors (see below), whose sum is σ = 59706569664. Its totient is φ = 8376775680.

The previous prime is 23013122021. The next prime is 23013122081. The reversal of 23013122080 is 8022131032.

It is not an unprimeable number, because it can be changed into a prime (23013122081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1913847 + ... + 1925833.

It is an arithmetic number, because the mean of its divisors is an integer number (414628956).

Almost surely, 223013122080 is an apocalyptic number.

23013122080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23013122080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29853284832).

23013122080 is an abundant number, since it is smaller than the sum of its proper divisors (36693447584).

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

23013122080 is a wasteful number, since it uses less digits than its factorization.

23013122080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12099 (or 12078 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The spelling of 23013122080 in words is "twenty-three billion, thirteen million, one hundred twenty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 71 80 104 130 142 160 169 208 260 284 338 355 416 520 568 676 710 845 923 1040 1136 1352 1420 1690 1846 2080 2272 2704 2840 3380 3692 4615 5408 5680 6760 7384 9230 11360 11987 11999 13520 14768 18460 23974 23998 27040 29536 36920 47948 47996 59935 59995 73840 95896 95992 119870 119990 147680 155831 191792 191984 239740 239980 311662 383584 383968 479480 479960 623324 779155 851077 958960 959920 1246648 1558310 1702154 1917920 1919840 2025803 2493296 3116620 3404308 4051606 4255385 4986592 6233240 6808616 8103212 8510770 10129015 11064001 12466480 13617232 16206424 17021540 20258030 22128002 24932960 27234464 32412848 34043080 40516060 44256004 55320005 64825696 68086160 81032120 88512008 110640010 136172320 143832013 162064240 177024016 221280020 287664026 324128480 354048032 442560040 575328052 719160065 885120080 1150656104 1438320130 1770240160 2301312208 2876640260 4602624416 5753280520 11506561040 23013122080