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13312330120 = 2355361311331
BaseRepresentation
bin11000110010111101…
…00000100110001000
31021100202111102211201
430121132200212020
5204230424030440
610040545233544
7650614640035
oct143136404610
937322442751
1013312330120
115711510721
1226b63328b4
131341cc8b1b
1490402c38c
1552da9919a
hex3197a0988

13312330120 has 128 divisors (see below), whose sum is σ = 31211930880. Its totient is φ = 5106816000.

The previous prime is 13312330111. The next prime is 13312330193. The reversal of 13312330120 is 2103321331.

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, 40218355 + ... + 40218685.

It is an arithmetic number, because the mean of its divisors is an integer number (243843210).

Almost surely, 213312330120 is an apocalyptic number.

13312330120 is a gapful number since it is divisible by the number (10) 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 13312330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15605965440).

13312330120 is an abundant number, since it is smaller than the sum of its proper divisors (17899600760).

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

13312330120 is a wasteful number, since it uses less digits than its factorization.

13312330120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 13312330120 its reverse (2103321331), we get a palindrome (15415651451).

The spelling of 13312330120 in words is "thirteen billion, three hundred twelve million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 61 106 122 212 244 265 305 311 331 424 488 530 610 622 662 1060 1220 1244 1324 1555 1655 2120 2440 2488 2648 3110 3233 3310 6220 6466 6620 12440 12932 13240 16165 16483 17543 18971 20191 25864 32330 32966 35086 37942 40382 64660 65932 70172 75884 80764 82415 87715 94855 100955 102941 129320 131864 140344 151768 161528 164830 175430 189710 201910 205882 329660 350860 379420 403820 411764 514705 659320 701720 758840 807640 823528 1005463 1029410 1070123 2010926 2058820 2140246 4021852 4117640 4280492 5027315 5350615 5455873 6279401 8043704 8560984 10054630 10701230 10911746 12558802 20109260 21402460 21823492 25117604 27279365 31397005 40218520 42804920 43646984 50235208 54558730 62794010 109117460 125588020 218234920 251176040 332808253 665616506 1331233012 1664041265 2662466024 3328082530 6656165060 13312330120