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12810071177 is a prime number
BaseRepresentation
bin10111110111000101…
…00010110010001001
31020001202102001002122
423323202202302021
5202213334234202
65515044141025
7632305544201
oct137342426211
936052361078
1012810071177
115483a51092
122596097775
131291c32797
14897449401
154ee9369a2
hex2fb8a2c89

12810071177 has 2 divisors, whose sum is σ = 12810071178. Its totient is φ = 12810071176.

The previous prime is 12810071167. The next prime is 12810071179. The reversal of 12810071177 is 77117001821.

It is a happy number.

12810071177 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12778945936 + 31125241 = 113044^2 + 5579^2 .

It is a cyclic number.

It is not a de Polignac number, because 12810071177 - 220 = 12809022601 is a prime.

Together with 12810071179, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (12810071179) 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, 6405035588 + 6405035589.

It is an arithmetic number, because the mean of its divisors is an integer number (6405035589).

Almost surely, 212810071177 is an apocalyptic number.

It is an amenable number.

12810071177 is a deficient number, since it is larger than the sum of its proper divisors (1).

12810071177 is an equidigital number, since it uses as much as digits as its factorization.

12810071177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5488, while the sum is 35.

Adding to 12810071177 its reverse (77117001821), we get a palindrome (89927072998).

The spelling of 12810071177 in words is "twelve billion, eight hundred ten million, seventy-one thousand, one hundred seventy-seven".