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12105575027 = 713235783839
BaseRepresentation
bin10110100011000110…
…00110101001110011
31011020122202221001122
423101203012221303
5144243011400102
65321120252455
7605662455440
oct132143065163
934218687048
1012105575027
115152310767
12241a17112b
1311abcaaa60
1482ba609c7
154acb770a2
hex2d18c6a73

12105575027 has 16 divisors (see below), whose sum is σ = 15546961920. Its totient is φ = 9161599392.

The previous prime is 12105575023. The next prime is 12105575029. The reversal of 12105575027 is 72057550121.

12105575027 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12105575027 - 22 = 12105575023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12105575023) 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, 2889827 + ... + 2894012.

It is an arithmetic number, because the mean of its divisors is an integer number (971685120).

Almost surely, 212105575027 is an apocalyptic number.

12105575027 is a deficient number, since it is larger than the sum of its proper divisors (3441386893).

12105575027 is a wasteful number, since it uses less digits than its factorization.

12105575027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5783882.

The product of its (nonzero) digits is 24500, while the sum is 35.

The spelling of 12105575027 in words is "twelve billion, one hundred five million, five hundred seventy-five thousand, twenty-seven".

Divisors: 1 7 13 23 91 161 299 2093 5783839 40486873 75189907 133028297 526329349 931198079 1729367861 12105575027