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2820096313 is a prime number
BaseRepresentation
bin1010100000010111…
…0100000100111001
321021112111201212121
42220011310010321
521233421040223
61143500241241
7126612265066
oct25005640471
97245451777
102820096313
111217964111
12668540221
1335c345458
141ca775c6d
151178a915d
hexa8174139

2820096313 has 2 divisors, whose sum is σ = 2820096314. Its totient is φ = 2820096312.

The previous prime is 2820096311. The next prime is 2820096403. The reversal of 2820096313 is 3136900282.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2094709824 + 725386489 = 45768^2 + 26933^2 .

It is a cyclic number.

It is not a de Polignac number, because 2820096313 - 21 = 2820096311 is a prime.

Together with 2820096311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2820096311) 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, 1410048156 + 1410048157.

It is an arithmetic number, because the mean of its divisors is an integer number (1410048157).

Almost surely, 22820096313 is an apocalyptic number.

It is an amenable number.

2820096313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2820096313 is an equidigital number, since it uses as much as digits as its factorization.

2820096313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 2820096313 is about 53104.5790210223. The cubic root of 2820096313 is about 1412.8237283214.

Adding to 2820096313 its reverse (3136900282), we get a palindrome (5956996595).

The spelling of 2820096313 in words is "two billion, eight hundred twenty million, ninety-six thousand, three hundred thirteen".