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12050542131 = 36182979433
BaseRepresentation
bin10110011100100010…
…01010111000110011
31011002211012222010020
423032101022320303
5144134414322011
65311432534523
7604423626615
oct131621127063
934084188106
1012050542131
115124242731
122403851443
1311a077c904
14824616db5
154a7e06006
hex2ce44ae33

12050542131 has 16 divisors (see below), whose sum is σ = 16350694560. Its totient is φ = 7892363520.

The previous prime is 12050542103. The next prime is 12050542201. The reversal of 12050542131 is 13124505021.

It is a happy number.

12050542131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12050542131 - 26 = 12050542067 is a prime.

It is a super-3 number, since 3×120505421313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (12050542631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111991 + ... + 191423.

It is an arithmetic number, because the mean of its divisors is an integer number (1021918410).

Almost surely, 212050542131 is an apocalyptic number.

12050542131 is a deficient number, since it is larger than the sum of its proper divisors (4300152429).

12050542131 is an equidigital number, since it uses as much as digits as its factorization.

12050542131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80326.

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 12050542131 in words is "twelve billion, fifty million, five hundred forty-two thousand, one hundred thirty-one".

Divisors: 1 3 61 183 829 2487 50569 79433 151707 238299 4845413 14536239 65849957 197549871 4016847377 12050542131