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9309293137 is a prime number
BaseRepresentation
bin10001010101110000…
…01000101001010001
3220000210002002102201
420222320020221101
5123031134340022
64135430243201
7446456454214
oct105270105121
926023062381
109309293137
113a479427a1
1219797b6501
13b54882ca1
1464452777b
15397424127
hex22ae08a51

9309293137 has 2 divisors, whose sum is σ = 9309293138. Its totient is φ = 9309293136.

The previous prime is 9309293069. The next prime is 9309293141. The reversal of 9309293137 is 7313929039.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6584348736 + 2724944401 = 81144^2 + 52201^2 .

It is a cyclic number.

It is not a de Polignac number, because 9309293137 - 215 = 9309260369 is a prime.

It is not a weakly prime, because it can be changed into another prime (9309293437) 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, 4654646568 + 4654646569.

It is an arithmetic number, because the mean of its divisors is an integer number (4654646569).

Almost surely, 29309293137 is an apocalyptic number.

It is an amenable number.

9309293137 is a deficient number, since it is larger than the sum of its proper divisors (1).

9309293137 is an equidigital number, since it uses as much as digits as its factorization.

9309293137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 275562, while the sum is 46.

The square root of 9309293137 is about 96484.6782499688. The cubic root of 9309293137 is about 2103.6439482203.

The spelling of 9309293137 in words is "nine billion, three hundred nine million, two hundred ninety-three thousand, one hundred thirty-seven".