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23013120200 = 23527143311471
BaseRepresentation
bin10101011011101100…
…000101100011001000
32012101211020122010012
4111123230011203020
5334112324321300
614323323011052
71443200202620
oct253354054310
965354218105
1023013120200
11983a340904
124563069a88
132229a03cb5
141184545880
158ea552435
hex55bb058c8

23013120200 has 96 divisors (see below), whose sum is σ = 61197154560. Its totient is φ = 7884019200.

The previous prime is 23013120199. The next prime is 23013120223. The reversal of 23013120200 is 202131032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 2000465 + ... + 2011935.

It is an arithmetic number, because the mean of its divisors is an integer number (637470360).

Almost surely, 223013120200 is an apocalyptic number.

23013120200 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 23013120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30598577280).

23013120200 is an abundant number, since it is smaller than the sum of its proper divisors (38184034360).

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

23013120200 is a wasteful number, since it uses less digits than its factorization.

23013120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12927 (or 12918 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 23013120200 its reverse (202131032), we get a palindrome (23215251232).

The spelling of 23013120200 in words is "twenty-three billion, thirteen million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 1433 2866 5732 7165 10031 11464 11471 14330 20062 22942 28660 35825 40124 45884 50155 57320 57355 71650 80248 80297 91768 100310 114710 143300 160594 200620 229420 250775 286600 286775 321188 401240 401485 458840 501550 573550 642376 802970 1003100 1147100 1605940 2006200 2007425 2294200 3211880 4014850 8029700 16059400 16437943 32875886 65751772 82189715 115065601 131503544 164379430 230131202 328758860 410948575 460262404 575328005 657517720 821897150 920524808 1150656010 1643794300 2301312020 2876640025 3287588600 4602624040 5753280050 11506560100 23013120200