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9906300137 is a prime number
BaseRepresentation
bin10010011100111011…
…00010010011101001
3221120101110012002002
421032131202103221
5130242003101022
64314554220345
7500326106336
oct111635422351
927511405062
109906300137
114223936a08
121b057246b5
13c1b471476
1469d93198d
153cea50092
hex24e7624e9

9906300137 has 2 divisors, whose sum is σ = 9906300138. Its totient is φ = 9906300136.

The previous prime is 9906300091. The next prime is 9906300167. The reversal of 9906300137 is 7310036099.

9906300137 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., 6801135961 + 3105164176 = 82469^2 + 55724^2 .

It is an emirp because it is prime and its reverse (7310036099) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9906300137 - 210 = 9906299113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 9906300137.

It is not a weakly prime, because it can be changed into another prime (9906300167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4953150068 + 4953150069.

It is an arithmetic number, because the mean of its divisors is an integer number (4953150069).

Almost surely, 29906300137 is an apocalyptic number.

It is an amenable number.

9906300137 is a deficient number, since it is larger than the sum of its proper divisors (1).

9906300137 is an equidigital number, since it uses as much as digits as its factorization.

9906300137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30618, while the sum is 38.

The square root of 9906300137 is about 99530.3980550666. The cubic root of 9906300137 is about 2147.6845551922.

The spelling of 9906300137 in words is "nine billion, nine hundred six million, three hundred thousand, one hundred thirty-seven".