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13220232120 = 23325360710181
BaseRepresentation
bin11000100111111110…
…01011101110111000
31021010100012101010200
430103333023232320
5204033334411440
610023455242200
7645416055534
oct142377135670
937110171120
1013220232120
115674527077
12268b519360
131328bc0c74
148d5ad6bc4
15525955c30
hex313fcbbb8

13220232120 has 96 divisors (see below), whose sum is σ = 42981887520. Its totient is φ = 3524071680.

The previous prime is 13220232119. The next prime is 13220232133. The reversal of 13220232120 is 2123202231.

13220232120 is a `hidden beast` number, since 1 + 322 + 0 + 2 + 321 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13220232093 and 13220232102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1293430 + ... + 1303610.

It is an arithmetic number, because the mean of its divisors is an integer number (447727995).

Almost surely, 213220232120 is an apocalyptic number.

13220232120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13220232120 is an abundant number, since it is smaller than the sum of its proper divisors (29761655400).

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

13220232120 is a wasteful number, since it uses less digits than its factorization.

13220232120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13805 (or 13798 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13220232120 its reverse (2123202231), we get a palindrome (15343434351).

The spelling of 13220232120 in words is "thirteen billion, two hundred twenty million, two hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 3607 7214 10181 10821 14428 18035 20362 21642 28856 30543 32463 36070 40724 43284 50905 54105 61086 64926 72140 81448 86568 91629 101810 108210 122172 129852 144280 152715 162315 183258 203620 216420 244344 259704 305430 324630 366516 407240 432840 458145 610860 649260 733032 916290 1221720 1298520 1832580 3665160 36722867 73445734 110168601 146891468 183614335 220337202 293782936 330505803 367228670 440674404 550843005 661011606 734457340 881348808 1101686010 1322023212 1468914680 1652529015 2203372020 2644046424 3305058030 4406744040 6610116060 13220232120