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12081116177 = 132938538317
BaseRepresentation
bin10110100000001011…
…10011010000010001
31011011221202021211022
423100011303100101
5144220231204202
65314444125225
7605244536024
oct132005632021
934157667738
1012081116177
11513a525439
122411b36815
1311a6bc5c70
148286d51bb
154aa944ea2
hex2d0173411

12081116177 has 16 divisors (see below), whose sum is σ = 13464180240. Its totient is φ = 10763165952.

The previous prime is 12081116167. The next prime is 12081116197. The reversal of 12081116177 is 77161118021.

It can be written as a sum of positive squares in 8 ways, for example, as 2656783936 + 9424332241 = 51544^2 + 97079^2 .

It is a cyclic number.

It is not a de Polignac number, because 12081116177 - 210 = 12081115153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12081116107) 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, 1448423 + ... + 1456739.

It is an arithmetic number, because the mean of its divisors is an integer number (841511265).

Almost surely, 212081116177 is an apocalyptic number.

It is an amenable number.

12081116177 is a deficient number, since it is larger than the sum of its proper divisors (1383064063).

12081116177 is a wasteful number, since it uses less digits than its factorization.

12081116177 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12212.

The product of its (nonzero) digits is 4704, while the sum is 35.

The spelling of 12081116177 in words is "twelve billion, eighty-one million, one hundred sixteen thousand, one hundred seventy-seven".

Divisors: 1 13 29 377 3853 8317 50089 108121 111737 241193 1452581 3135509 32045401 416590213 929316629 12081116177