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1009416940031 is a prime number
BaseRepresentation
bin11101011000001011111…
…00000010100111111111
310120111111000001112200202
432230011330002213333
5113014241214040111
62051415244114115
7132633202264463
oct16540574024777
93514430045622
101009416940031
1135a100602365
1214376b83593b
137425923bac6
1436bdad924a3
151b3cd350b3b
hexeb05f029ff

1009416940031 has 2 divisors, whose sum is σ = 1009416940032. Its totient is φ = 1009416940030.

The previous prime is 1009416939967. The next prime is 1009416940043. The reversal of 1009416940031 is 1300496149001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1009416940031 - 26 = 1009416939967 is a prime.

It is a super-2 number, since 2×10094169400312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1009416940061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 504708470015 + 504708470016.

It is an arithmetic number, because the mean of its divisors is an integer number (504708470016).

Almost surely, 21009416940031 is an apocalyptic number.

1009416940031 is a deficient number, since it is larger than the sum of its proper divisors (1).

1009416940031 is an equidigital number, since it uses as much as digits as its factorization.

1009416940031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 38.

The spelling of 1009416940031 in words is "one trillion, nine billion, four hundred sixteen million, nine hundred forty thousand, thirty-one".