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1000909100017 is a prime number
BaseRepresentation
bin11101001000010101101…
…01001101001111110001
310112200112002001111021001
432210022311031033301
5112344330212200032
62043451123402001
7132212313655261
oct16441265151761
93480462044231
101000909100017
11356535103222
12141b96523301
137350172a248
14366310917a1
151b08148e3e7
hexe90ad4d3f1

1000909100017 has 2 divisors, whose sum is σ = 1000909100018. Its totient is φ = 1000909100016.

The previous prime is 1000909099999. The next prime is 1000909100033. The reversal of 1000909100017 is 7100019090001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 816283338256 + 184625761761 = 903484^2 + 429681^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1000909100017 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000909100117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500454550008 + 500454550009.

It is an arithmetic number, because the mean of its divisors is an integer number (500454550009).

Almost surely, 21000909100017 is an apocalyptic number.

It is an amenable number.

1000909100017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000909100017 is an equidigital number, since it uses as much as digits as its factorization.

1000909100017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 567, while the sum is 28.

The spelling of 1000909100017 in words is "one trillion, nine hundred nine million, one hundred thousand, seventeen".