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813281129 is a prime number
BaseRepresentation
bin110000011110011…
…010111101101001
32002200022221222022
4300132122331221
53131144444004
6212411234225
726103530003
oct6036327551
92080287868
10813281129
11388092171
121a8448975
13cc65304b
147a025373
154b5ec2be
hex3079af69

813281129 has 2 divisors, whose sum is σ = 813281130. Its totient is φ = 813281128.

The previous prime is 813281123. The next prime is 813281153. The reversal of 813281129 is 921182318.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 749281129 + 64000000 = 27373^2 + 8000^2 .

It is a cyclic number.

It is not a de Polignac number, because 813281129 - 28 = 813280873 is a prime.

It is a super-2 number, since 2×8132811292 = 1322852389575029282, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (813281123) 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, 406640564 + 406640565.

It is an arithmetic number, because the mean of its divisors is an integer number (406640565).

Almost surely, 2813281129 is an apocalyptic number.

It is an amenable number.

813281129 is a deficient number, since it is larger than the sum of its proper divisors (1).

813281129 is an equidigital number, since it uses as much as digits as its factorization.

813281129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6912, while the sum is 35.

The square root of 813281129 is about 28518.0842449138. The cubic root of 813281129 is about 933.4267265246.

The spelling of 813281129 in words is "eight hundred thirteen million, two hundred eighty-one thousand, one hundred twenty-nine".