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13120222320 = 243356074177
BaseRepresentation
bin11000011100000011…
…01011010001110000
31020212101000100111000
430032001223101300
5203332234103240
610005523522000
7643063023012
oct141601532160
936771010430
1013120222320
115623029247
122661b29300
131311275b7a
148c67021b2
1551bc9d430
hex30e06b470

13120222320 has 80 divisors (see below), whose sum is σ = 45191884320. Its totient is φ = 3498725376.

The previous prime is 13120222309. The next prime is 13120222321. The reversal of 13120222320 is 2322202131.

13120222320 is a `hidden beast` number, since 1 + 3 + 120 + 222 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 13120222293 and 13120222302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13120222321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3034929 + ... + 3039248.

It is an arithmetic number, because the mean of its divisors is an integer number (564898554).

Almost surely, 213120222320 is an apocalyptic number.

13120222320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13120222320 is an abundant number, since it is smaller than the sum of its proper divisors (32071662000).

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

13120222320 is a wasteful number, since it uses less digits than its factorization.

13120222320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6074199 (or 6074187 counting only the distinct ones).

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

Adding to 13120222320 its reverse (2322202131), we get a palindrome (15442424451).

The spelling of 13120222320 in words is "thirteen billion, one hundred twenty million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 6074177 12148354 18222531 24296708 30370885 36445062 48593416 54667593 60741770 72890124 91112655 97186832 109335186 121483540 145780248 164002779 182225310 218670372 242967080 273337965 291560496 328005558 364450620 437340744 485934160 546675930 656011116 728901240 820013895 874681488 1093351860 1312022232 1457802480 1640027790 2186703720 2624044464 3280055580 4373407440 6560111160 13120222320