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9083100317 is a prime number
BaseRepresentation
bin10000111010110010…
…10001110010011101
3212110000110022012212
420131121101302131
5122100233202232
64101150210205
7441042036014
oct103531216235
925400408185
109083100317
11394119a785
121915ab3965
13b19a57895
14622487a7b
15382643eb2
hex21d651c9d

9083100317 has 2 divisors, whose sum is σ = 9083100318. Its totient is φ = 9083100316.

The previous prime is 9083100281. The next prime is 9083100343. The reversal of 9083100317 is 7130013809.

9083100317 is digitally balanced in base 2 and base 3, because in such bases 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., 5008959076 + 4074141241 = 70774^2 + 63829^2 .

It is a cyclic number.

It is not a de Polignac number, because 9083100317 - 26 = 9083100253 is a prime.

It is a super-2 number, since 2×90831003172 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9083130317) 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, 4541550158 + 4541550159.

It is an arithmetic number, because the mean of its divisors is an integer number (4541550159).

Almost surely, 29083100317 is an apocalyptic number.

It is an amenable number.

9083100317 is a deficient number, since it is larger than the sum of its proper divisors (1).

9083100317 is an equidigital number, since it uses as much as digits as its factorization.

9083100317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 9083100317 is about 95305.3005713743. The cubic root of 9083100317 is about 2086.4662795040.

The spelling of 9083100317 in words is "nine billion, eighty-three million, one hundred thousand, three hundred seventeen".