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12057114017 = 131754557077
BaseRepresentation
bin10110011101010100…
…01111010110100001
31011010021120212001102
423032222033112201
5144143110122032
65312225444145
7604533530624
oct131652172641
934107525042
1012057114017
115127a21243
122405aa0655
1311a1c40cc0
14825447dbb
154a87a3362
hex2cea8f5a1

12057114017 has 8 divisors (see below), whose sum is σ = 13748383656. Its totient is φ = 10474958592.

The previous prime is 12057114011. The next prime is 12057114019. The reversal of 12057114017 is 71041175021.

It can be written as a sum of positive squares in 4 ways, for example, as 15124321 + 12041989696 = 3889^2 + 109736^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12057114017 - 224 = 12040336801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12057114011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27278318 + ... + 27278759.

It is an arithmetic number, because the mean of its divisors is an integer number (1718547957).

Almost surely, 212057114017 is an apocalyptic number.

12057114017 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12057114017 is a deficient number, since it is larger than the sum of its proper divisors (1691269639).

12057114017 is a wasteful number, since it uses less digits than its factorization.

12057114017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54557107.

The product of its (nonzero) digits is 1960, while the sum is 29.

Adding to 12057114017 its reverse (71041175021), we get a palindrome (83098289038).

The spelling of 12057114017 in words is "twelve billion, fifty-seven million, one hundred fourteen thousand, seventeen".

Divisors: 1 13 17 221 54557077 709242001 927470309 12057114017