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13120201320 = 2335402127191
BaseRepresentation
bin11000011100000011…
…00110001001101000
31020212100222021200020
430032001212021220
5203332232420240
610005523240440
7643062604542
oct141601461150
936770867606
1013120201320
115623014496
122661b19120
131311269445
148c66d8692
1551bc970d0
hex30e066268

13120201320 has 64 divisors (see below), whose sum is σ = 39371840640. Its totient is φ = 3497721600.

The previous prime is 13120201313. The next prime is 13120201327. The reversal of 13120201320 is 2310202131.

It is an interprime number because it is at equal distance from previous prime (13120201313) and next prime (13120201327).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13120201320.

It is not an unprimeable number, because it can be changed into a prime (13120201327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 468925 + ... + 496115.

It is an arithmetic number, because the mean of its divisors is an integer number (615185010).

Almost surely, 213120201320 is an apocalyptic number.

13120201320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13120201320 is an abundant number, since it is smaller than the sum of its proper divisors (26251639320).

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

13120201320 is a wasteful number, since it uses less digits than its factorization.

13120201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31226 (or 31222 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13120201320 its reverse (2310202131), we get a palindrome (15430403451).

The spelling of 13120201320 in words is "thirteen billion, one hundred twenty million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 4021 8042 12063 16084 20105 24126 27191 32168 40210 48252 54382 60315 80420 81573 96504 108764 120630 135955 160840 163146 217528 241260 271910 326292 407865 482520 543820 652584 815730 1087640 1631460 3262920 109335011 218670022 328005033 437340044 546675055 656010066 874680088 1093350110 1312020132 1640025165 2186700220 2624040264 3280050330 4373400440 6560100660 13120201320