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9008922313 is a prime number
BaseRepresentation
bin10000110001111100…
…10011111011001001
3212020211212200010101
420120332103323021
5121422241003223
64045540245401
7436151401426
oct103076237311
925224780111
109008922313
113903335746
1218b50a0861
13b07585481
14616698d4d
1537ad904ad
hex218f93ec9

9008922313 has 2 divisors, whose sum is σ = 9008922314. Its totient is φ = 9008922312.

The previous prime is 9008922301. The next prime is 9008922331. The reversal of 9008922313 is 3132298009.

9008922313 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (9008922331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8811013689 + 197908624 = 93867^2 + 14068^2 .

It is a cyclic number.

It is not a de Polignac number, because 9008922313 - 25 = 9008922281 is a prime.

It is not a weakly prime, because it can be changed into another prime (9008922113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4504461156 + 4504461157.

It is an arithmetic number, because the mean of its divisors is an integer number (4504461157).

Almost surely, 29008922313 is an apocalyptic number.

It is an amenable number.

9008922313 is a deficient number, since it is larger than the sum of its proper divisors (1).

9008922313 is an equidigital number, since it uses as much as digits as its factorization.

9008922313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 9008922313 is about 94915.3428745848. The cubic root of 9008922313 is about 2080.7709722862.

The spelling of 9008922313 in words is "nine billion, eight million, nine hundred twenty-two thousand, three hundred thirteen".