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1009990000001 is a prime number
BaseRepresentation
bin11101011001010000001…
…10000101110110000001
310120112221221101000012002
432230220012011312001
5113021424420000001
62051552154513345
7132653331231323
oct16545006056601
93515857330162
101009990000001
1135a37502a844
121438ab735855
137431ab94448
1436c53125613
151b4137eb46b
hexeb28185d81

1009990000001 has 2 divisors, whose sum is σ = 1009990000002. Its totient is φ = 1009990000000.

The previous prime is 1009989999971. The next prime is 1009990000009. The reversal of 1009990000001 is 1000000999001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 744121890625 + 265868109376 = 862625^2 + 515624^2 .

It is a cyclic number.

It is not a de Polignac number, because 1009990000001 - 218 = 1009989737857 is a prime.

It is not a weakly prime, because it can be changed into another prime (1009990000009) 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, 504995000000 + 504995000001.

It is an arithmetic number, because the mean of its divisors is an integer number (504995000001).

Almost surely, 21009990000001 is an apocalyptic number.

It is an amenable number.

1009990000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1009990000001 is an equidigital number, since it uses as much as digits as its factorization.

1009990000001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 29.

Adding to 1009990000001 its reverse (1000000999001), we get a palindrome (2009990999002).

The spelling of 1009990000001 in words is "one trillion, nine billion, nine hundred ninety million, one", and thus it is an aban number.