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12071327137 is a prime number
BaseRepresentation
bin10110011111000000…
…11101010110100001
31011011021022221210021
423033200131112201
5144210224432022
65313454233441
7605065405402
oct131740352641
934137287707
1012071327137
115134a49821
12240a7b5881
1311a4b7942c
148272a79a9
154a9b5e7c7
hex2cf81d5a1

12071327137 has 2 divisors, whose sum is σ = 12071327138. Its totient is φ = 12071327136.

The previous prime is 12071327131. The next prime is 12071327161. The reversal of 12071327137 is 73172317021.

It is a happy number.

12071327137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8770135201 + 3301191936 = 93649^2 + 57456^2 .

It is a cyclic number.

It is not a de Polignac number, because 12071327137 - 23 = 12071327129 is a prime.

It is not a weakly prime, because it can be changed into another prime (12071327131) 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 as a sum of consecutive naturals, namely, 6035663568 + 6035663569.

It is an arithmetic number, because the mean of its divisors is an integer number (6035663569).

Almost surely, 212071327137 is an apocalyptic number.

It is an amenable number.

12071327137 is a deficient number, since it is larger than the sum of its proper divisors (1).

12071327137 is an equidigital number, since it uses as much as digits as its factorization.

12071327137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12348, while the sum is 34.

The spelling of 12071327137 in words is "twelve billion, seventy-one million, three hundred twenty-seven thousand, one hundred thirty-seven".