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23210120120 = 23511157337997
BaseRepresentation
bin10101100111011011…
…100101001110111000
32012220112221021012112
4111213123211032320
5340013242320440
614355041231452
71451111523455
oct254733451670
965815837175
1023210120120
119930564860
1245b9032588
13225b77a8b5
1411a278682c
1590c9b7965
hex5676e53b8

23210120120 has 128 divisors (see below), whose sum is σ = 57560967360. Its totient is φ = 8353013760.

The previous prime is 23210120099. The next prime is 23210120161. The reversal of 23210120120 is 2102101232.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 23210120095 and 23210120104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23279462 + ... + 23280458.

Almost surely, 223210120120 is an apocalyptic number.

23210120120 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 23210120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28780483680).

23210120120 is an abundant number, since it is smaller than the sum of its proper divisors (34350847240).

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

23210120120 is a wasteful number, since it uses less digits than its factorization.

23210120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 23210120120 its reverse (2102101232), we get a palindrome (25312221352).

The spelling of 23210120120 in words is "twenty-three billion, two hundred ten million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 157 220 314 337 440 628 674 785 997 1256 1348 1570 1685 1727 1994 2696 3140 3370 3454 3707 3988 4985 6280 6740 6908 7414 7976 8635 9970 10967 13480 13816 14828 17270 18535 19940 21934 29656 34540 37070 39880 43868 52909 54835 69080 74140 87736 105818 109670 148280 156529 211636 219340 264545 313058 335989 423272 438680 529090 581999 626116 671978 782645 1058180 1163998 1252232 1343956 1565290 1679945 1721819 2116360 2327996 2687912 2909995 3130580 3359890 3443638 3695879 4655992 5819990 6261160 6719780 6887276 7391758 8609095 11639980 13439560 13774552 14783516 17218190 18479395 23279960 29567032 34436380 36958790 52750273 68872760 73917580 105500546 147835160 211001092 263751365 422002184 527502730 580253003 1055005460 1160506006 2110010920 2321012012 2901265015 4642024024 5802530030 11605060060 23210120120