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23534330120 = 2357179750971
BaseRepresentation
bin10101111010110000…
…010110000100001000
32020202010222211201022
4111322300112010020
5341144242030440
614451142212012
71462126335230
oct257260260410
966663884638
1023534330120
119a87574604
124689724008
1322b09a4132
1411d385ccc0
1592b1a9cb5
hex57ac16108

23534330120 has 128 divisors (see below), whose sum is σ = 64738517760. Its totient is φ = 7515832320.

The previous prime is 23534330111. The next prime is 23534330143. The reversal of 23534330120 is 2103343532.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 23534330120.

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, 436235 + ... + 487205.

It is an arithmetic number, because the mean of its divisors is an integer number (505769670).

Almost surely, 223534330120 is an apocalyptic number.

23534330120 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 23534330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32369258880).

23534330120 is an abundant number, since it is smaller than the sum of its proper divisors (41204187640).

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

23534330120 is a wasteful number, since it uses less digits than its factorization.

23534330120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51103 (or 51099 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 26.

Adding to 23534330120 its reverse (2103343532), we get a palindrome (25637673652).

The spelling of 23534330120 in words is "twenty-three billion, five hundred thirty-four million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 97 119 136 140 170 194 238 280 340 388 476 485 595 679 680 776 952 970 1190 1358 1649 1940 2380 2716 3298 3395 3880 4760 5432 6596 6790 8245 11543 13192 13580 16490 23086 27160 32980 46172 50971 57715 65960 92344 101942 115430 203884 230860 254855 356797 407768 461720 509710 713594 866507 1019420 1427188 1733014 1783985 2038840 2854376 3466028 3567970 4332535 4944187 6065549 6932056 7135940 8665070 9888374 12131098 14271880 17330140 19776748 24262196 24720935 30327745 34609309 34660280 39553496 48524392 49441870 60655490 69218618 84051179 98883740 121310980 138437236 168102358 173046545 197767480 242621960 276874472 336204716 346093090 420255895 588358253 672409432 692186180 840511790 1176716506 1384372360 1681023580 2353433012 2941791265 3362047160 4706866024 5883582530 11767165060 23534330120