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1011110110009 is a prime number
BaseRepresentation
bin11101011011010101101…
…10111110001100111001
310120122212000001111020221
432231222312332030321
5113031223142010014
62052255250420041
7133023152062216
oct16555266761471
93518760044227
101011110110009
1135a89a32aa9a
12143b62891621
1374468c6662c
1436d1bbbab0d
151b47bd05b24
hexeb6adbe339

1011110110009 has 2 divisors, whose sum is σ = 1011110110010. Its totient is φ = 1011110110008.

The previous prime is 1011110110007. The next prime is 1011110110037. The reversal of 1011110110009 is 9000110111101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1009478353984 + 1631756025 = 1004728^2 + 40395^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011110110009 - 21 = 1011110110007 is a prime.

Together with 1011110110007, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1011110109974 and 1011110110001.

It is not a weakly prime, because it can be changed into another prime (1011110110007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505555055004 + 505555055005.

It is an arithmetic number, because the mean of its divisors is an integer number (505555055005).

Almost surely, 21011110110009 is an apocalyptic number.

It is an amenable number.

1011110110009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011110110009 is an equidigital number, since it uses as much as digits as its factorization.

1011110110009 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 16.

The spelling of 1011110110009 in words is "one trillion, eleven billion, one hundred ten million, one hundred ten thousand, nine".