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10011110110009 is a prime number
BaseRepresentation
bin1001000110101110010010…
…1010010111001100111001
31022110001102110212022121021
42101223210222113030321
52303010223142010014
633143012425142441
72052164432620501
oct221534452271471
938401373768537
1010011110110009
11320a762739118
12115827862aa21
13578074b26308
1426877c8a2a01
1512562a4d2624
hex91ae4a97339

10011110110009 has 2 divisors, whose sum is σ = 10011110110010. Its totient is φ = 10011110110008.

The previous prime is 10011110109989. The next prime is 10011110110037. The reversal of 10011110110009 is 90001101111001.

10011110110009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8673189920784 + 1337920189225 = 2945028^2 + 1156685^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011110110009 - 219 = 10011109585721 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10011110109974 and 10011110110001.

It is not a weakly prime, because it can be changed into another prime (10011110110039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005555055004 + 5005555055005.

It is an arithmetic number, because the mean of its divisors is an integer number (5005555055005).

Almost surely, 210011110110009 is an apocalyptic number.

It is an amenable number.

10011110110009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011110110009 is an equidigital number, since it uses as much as digits as its factorization.

10011110110009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 16.

The spelling of 10011110110009 in words is "ten trillion, eleven billion, one hundred ten million, one hundred ten thousand, nine".