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1000011001009 is a prime number
BaseRepresentation
bin11101000110101010100…
…11001110110010110001
310112121012111010100000211
432203111103032302301
5112341010304013014
62043222042144121
7132151130154646
oct16432523166261
93477174110024
101000011001009
1135611415a139
121419857b2041
13733ba64ac07
1436587aabdcd
151b02c6dacc4
hexe8d54cecb1

1000011001009 has 2 divisors, whose sum is σ = 1000011001010. Its totient is φ = 1000011001008.

The previous prime is 1000011000991. The next prime is 1000011001021. The reversal of 1000011001009 is 9001001100001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 690760454400 + 309250546609 = 831120^2 + 556103^2 .

It is an emirp because it is prime and its reverse (9001001100001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1000011001009 - 219 = 1000010476721 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1000011001009.

It is not a weakly prime, because it can be changed into another prime (1000011001039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500005500504 + 500005500505.

It is an arithmetic number, because the mean of its divisors is an integer number (500005500505).

Almost surely, 21000011001009 is an apocalyptic number.

It is an amenable number.

1000011001009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000011001009 is an equidigital number, since it uses as much as digits as its factorization.

1000011001009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 13.

The spelling of 1000011001009 in words is "one trillion, eleven million, one thousand, nine".