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12052113315 = 35114313112967
BaseRepresentation
bin10110011100101110…
…01010011110100011
31011002221011210101020
423032113022132203
5144140320111230
65311530340523
7604443162414
oct131627123643
934087153336
1012052113315
115125116130
12240428a743
1311a0bacac8
1482490580b
154a8116810
hex2ce5ca7a3

12052113315 has 64 divisors (see below), whose sum is σ = 21691625472. Its totient is φ = 5663548800.

The previous prime is 12052113299. The next prime is 12052113317. The reversal of 12052113315 is 51331125021.

It is not a de Polignac number, because 12052113315 - 24 = 12052113299 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12052113317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 922962 + ... + 935928.

It is an arithmetic number, because the mean of its divisors is an integer number (338931648).

Almost surely, 212052113315 is an apocalyptic number.

12052113315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12052113315 is a deficient number, since it is larger than the sum of its proper divisors (9639512157).

12052113315 is a wasteful number, since it uses less digits than its factorization.

12052113315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13160.

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 12052113315 its reverse (51331125021), we get a palindrome (63383238336).

The spelling of 12052113315 in words is "twelve billion, fifty-two million, one hundred thirteen thousand, three hundred fifteen".

Divisors: 1 3 5 11 15 33 43 55 129 131 165 215 393 473 645 655 1419 1441 1965 2365 4323 5633 7095 7205 12967 16899 21615 28165 38901 61963 64835 84495 142637 185889 194505 309815 427911 557581 713185 929445 1672743 1698677 2139555 2787905 5096031 6133391 8363715 8493385 18400173 18685447 25480155 30666955 56056341 73043111 92000865 93427235 219129333 280281705 365215555 803474221 1095646665 2410422663 4017371105 12052113315