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2300312057 is a prime number
BaseRepresentation
bin1000100100011011…
…1111100111111001
312221022102221220212
42021012333213321
514202334441212
61020131400505
7111001221101
oct21106774771
95838387825
102300312057
11a8051454a
12542453135
132a87541c4
1417b710201
15d6e33e22
hex891bf9f9

2300312057 has 2 divisors, whose sum is σ = 2300312058. Its totient is φ = 2300312056.

The previous prime is 2300311963. The next prime is 2300312059. The reversal of 2300312057 is 7502130032.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2034100201 + 266211856 = 45101^2 + 16316^2 .

It is a cyclic number.

It is not a de Polignac number, because 2300312057 - 210 = 2300311033 is a prime.

Together with 2300312059, 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 (2300312059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1150156028 + 1150156029.

It is an arithmetic number, because the mean of its divisors is an integer number (1150156029).

Almost surely, 22300312057 is an apocalyptic number.

It is an amenable number.

2300312057 is a deficient number, since it is larger than the sum of its proper divisors (1).

2300312057 is an equidigital number, since it uses as much as digits as its factorization.

2300312057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 2300312057 is about 47961.5685419066. The cubic root of 2300312057 is about 1320.0658172340.

Adding to 2300312057 its reverse (7502130032), we get a palindrome (9802442089).

The spelling of 2300312057 in words is "two billion, three hundred million, three hundred twelve thousand, fifty-seven".