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2314838081 is a prime number
BaseRepresentation
bin1000100111111001…
…1010000001000001
312222022202221212202
42021332122001001
514220044304311
61021411002545
7111235541033
oct21176320101
95868687782
102314838081
11a88736126
12547299455
132ab76bb9a
1417d611c53
15d8352e3b
hex89f9a041

2314838081 has 2 divisors, whose sum is σ = 2314838082. Its totient is φ = 2314838080.

The previous prime is 2314838069. The next prime is 2314838083. The reversal of 2314838081 is 1808384132.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1827135025 + 487703056 = 42745^2 + 22084^2 .

It is a cyclic number.

It is not a de Polignac number, because 2314838081 - 214 = 2314821697 is a prime.

It is a super-2 number, since 2×23148380812 = 10716950682495525122, which contains 22 as substring.

Together with 2314838083, 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 (2314838083) 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 as a sum of consecutive naturals, namely, 1157419040 + 1157419041.

It is an arithmetic number, because the mean of its divisors is an integer number (1157419041).

Almost surely, 22314838081 is an apocalyptic number.

It is an amenable number.

2314838081 is a deficient number, since it is larger than the sum of its proper divisors (1).

2314838081 is an equidigital number, since it uses as much as digits as its factorization.

2314838081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 2314838081 is about 48112.7642211503. The cubic root of 2314838081 is about 1322.8386418907.

The spelling of 2314838081 in words is "two billion, three hundred fourteen million, eight hundred thirty-eight thousand, eighty-one".