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23012000520 = 23353735914437
BaseRepresentation
bin10101011011100111…
…110100001100001000
32012101202010202012120
4111123213310030020
5334112033004040
614323243011240
71443154530345
oct253347641410
965352122176
1023012000520
119839746653
124562809b20
132229701472
1411843337cc
158ea3d07d0
hex55b9f4308

23012000520 has 128 divisors (see below), whose sum is σ = 71104262400. Its totient is φ = 5953637376.

The previous prime is 23012000491. The next prime is 23012000533. The reversal of 23012000520 is 2500021032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23012000520.

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 31 ways as a sum of consecutive naturals, for example, 1586742 + ... + 1601178.

It is an arithmetic number, because the mean of its divisors is an integer number (555502050).

Almost surely, 223012000520 is an apocalyptic number.

23012000520 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 23012000520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35552131200).

23012000520 is an abundant number, since it is smaller than the sum of its proper divisors (48092261880).

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

23012000520 is a wasteful number, since it uses less digits than its factorization.

23012000520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14847 (or 14843 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

Adding to 23012000520 its reverse (2500021032), we get a palindrome (25512021552).

The spelling of 23012000520 in words is "twenty-three billion, twelve million, five hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 359 370 444 555 718 740 888 1077 1110 1436 1480 1795 2154 2220 2872 3590 4308 4440 5385 7180 8616 10770 13283 14360 14437 21540 26566 28874 39849 43080 43311 53132 57748 66415 72185 79698 86622 106264 115496 132830 144370 159396 173244 199245 216555 265660 288740 318792 346488 398490 433110 531320 534169 577480 796980 866220 1068338 1593960 1602507 1732440 2136676 2670845 3205014 4273352 5182883 5341690 6410028 8012535 10365766 10683380 12820056 15548649 16025070 20731532 21366760 25914415 31097298 32050140 41463064 51828830 62194596 64100280 77743245 103657660 124389192 155486490 191766671 207315320 310972980 383533342 575300013 621945960 767066684 958833355 1150600026 1534133368 1917666710 2301200052 2876500065 3835333420 4602400104 5753000130 7670666840 11506000260 23012000520