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2300312137 is a prime number
BaseRepresentation
bin1000100100011011…
…1111101001001001
312221022102222000211
42021012333221021
514202334442022
61020131401121
7111001221244
oct21106775111
95838388024
102300312137
11a80514612
125424531a1
132a8754256
1417b71025b
15d6e33e77
hex891bfa49

2300312137 has 2 divisors, whose sum is σ = 2300312138. Its totient is φ = 2300312136.

The previous prime is 2300312111. The next prime is 2300312141. The reversal of 2300312137 is 7312130032.

It is a happy number.

2300312137 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., 1386519696 + 913792441 = 37236^2 + 30229^2 .

It is a cyclic number.

It is not a de Polignac number, because 2300312137 - 215 = 2300279369 is a prime.

It is not a weakly prime, because it can be changed into another prime (2300312107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1150156068 + 1150156069.

It is an arithmetic number, because the mean of its divisors is an integer number (1150156069).

Almost surely, 22300312137 is an apocalyptic number.

It is an amenable number.

2300312137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2300312137 is an equidigital number, since it uses as much as digits as its factorization.

2300312137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 2300312137 is about 47961.5693759076. The cubic root of 2300312137 is about 1320.0658325370.

Adding to 2300312137 its reverse (7312130032), we get a palindrome (9612442169).

The spelling of 2300312137 in words is "two billion, three hundred million, three hundred twelve thousand, one hundred thirty-seven".