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23120233120 = 2554316012099
BaseRepresentation
bin10101100010000100…
…101100001010100000
32012200021210112102101
4111202010230022200
5334322234424440
614342110500144
71445640511315
oct254204541240
965607715371
1023120233120
119894850386
124592b04654
132245c6821a
141194868d0c
15904b5e69a
hex56212c2a0

23120233120 has 96 divisors (see below), whose sum is σ = 55953374400. Its totient is φ = 9023078400.

The previous prime is 23120233079. The next prime is 23120233127. The reversal of 23120233120 is 2133202132.

It is not an unprimeable number, because it can be changed into a prime (23120233127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11013831 + ... + 11015929.

It is an arithmetic number, because the mean of its divisors is an integer number (582847650).

Almost surely, 223120233120 is an apocalyptic number.

23120233120 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 23120233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27976687200).

23120233120 is an abundant number, since it is smaller than the sum of its proper divisors (32833141280).

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

23120233120 is a wasteful number, since it uses less digits than its factorization.

23120233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3758 (or 3750 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 23120233120 its reverse (2133202132), we get a palindrome (25253435252).

The spelling of 23120233120 in words is "twenty-three billion, one hundred twenty million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 215 344 430 688 860 1376 1601 1720 2099 3202 3440 4198 6404 6880 8005 8396 10495 12808 16010 16792 20990 25616 32020 33584 41980 51232 64040 67168 68843 83960 90257 128080 137686 167920 180514 256160 275372 335840 344215 361028 451285 550744 688430 722056 902570 1101488 1376860 1444112 1805140 2202976 2753720 2888224 3360499 3610280 5507440 6720998 7220560 11014880 13441996 14441120 16802495 26883992 33604990 53767984 67209980 107535968 134419960 144501457 268839920 289002914 537679840 578005828 722507285 1156011656 1445014570 2312023312 2890029140 4624046624 5780058280 11560116560 23120233120