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13331730120 = 2335237366169
BaseRepresentation
bin11000110101010001…
…00000111011001000
31021102010000001122020
430122220200323020
5204300410330440
610042521124440
7651241556562
oct143250407310
937363001566
1013331730120
115721461185
122700929720
13134602c107
1490683c332
1553062c3d0
hex31aa20ec8

13331730120 has 128 divisors (see below), whose sum is σ = 42306451200. Its totient is φ = 3353923584.

The previous prime is 13331730101. The next prime is 13331730199. The reversal of 13331730120 is 2103713331.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 168396 + ... + 234564.

It is an arithmetic number, because the mean of its divisors is an integer number (330519150).

Almost surely, 213331730120 is an apocalyptic number.

13331730120 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 13331730120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21153225600).

13331730120 is an abundant number, since it is smaller than the sum of its proper divisors (28974721080).

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

13331730120 is a wasteful number, since it uses less digits than its factorization.

13331730120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66279 (or 66275 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 24.

The spelling of 13331730120 in words is "thirteen billion, three hundred thirty-one million, seven hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 73 92 115 120 138 146 184 219 230 276 292 345 365 438 460 552 584 690 730 876 920 1095 1380 1460 1679 1752 2190 2760 2920 3358 4380 5037 6716 8395 8760 10074 13432 16790 20148 25185 33580 40296 50370 66169 67160 100740 132338 198507 201480 264676 330845 397014 529352 661690 794028 992535 1323380 1521887 1588056 1985070 2646760 3043774 3970140 4565661 4830337 6087548 7609435 7940280 9131322 9660674 12175096 14491011 15218870 18262644 19321348 22828305 24151685 28982022 30437740 36525288 38642696 45656610 48303370 57964044 60875480 72455055 91313220 96606740 111097751 115928088 144910110 182626440 193213480 222195502 289820220 333293253 444391004 555488755 579640440 666586506 888782008 1110977510 1333173012 1666466265 2221955020 2666346024 3332932530 4443910040 6665865060 13331730120