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1017891089 is a prime number
BaseRepresentation
bin111100101010111…
…100100100010001
32121221100020001222
4330222330210101
54041040003324
6245000534425
734136634335
oct7452744421
92557306058
101017891089
11482633706
12244a81415
13132b62727
14992877c5
155e56755e
hex3cabc911

1017891089 has 2 divisors, whose sum is σ = 1017891090. Its totient is φ = 1017891088.

The previous prime is 1017891041. The next prime is 1017891101. The reversal of 1017891089 is 9801987101.

1017891089 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., 1012321489 + 5569600 = 31817^2 + 2360^2 .

It is a cyclic number.

It is not a de Polignac number, because 1017891089 - 212 = 1017886993 is a prime.

It is a super-2 number, since 2×10178910892 = 2072204538131211842, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1017891019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 508945544 + 508945545.

It is an arithmetic number, because the mean of its divisors is an integer number (508945545).

Almost surely, 21017891089 is an apocalyptic number.

It is an amenable number.

1017891089 is a deficient number, since it is larger than the sum of its proper divisors (1).

1017891089 is an equidigital number, since it uses as much as digits as its factorization.

1017891089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36288, while the sum is 44.

The square root of 1017891089 is about 31904.4054794945. The cubic root of 1017891089 is about 1005.9284800023.

The spelling of 1017891089 in words is "one billion, seventeen million, eight hundred ninety-one thousand, eighty-nine".