Search a number
-
+
111110100000089 is a prime number
BaseRepresentation
bin11001010000110111010110…
…000010101001110101011001
3112120102000120220112201022012
4121100313112002221311121
5104030411441100000324
61032151135243235305
732255303600031521
oct3120672602516531
9476360526481265
10111110100000089
113244858a8a77a3
1210565a6b818b35
1349cc8396aa738
141d61a8695c681
15cca366c2620e
hex650dd60a9d59

111110100000089 has 2 divisors, whose sum is σ = 111110100000090. Its totient is φ = 111110100000088.

The previous prime is 111110100000059. The next prime is 111110100000113. The reversal of 111110100000089 is 980000001011111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103560338131600 + 7549761868489 = 10176460^2 + 2747683^2 .

It is a cyclic number.

It is not a de Polignac number, because 111110100000089 - 216 = 111110099934553 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (111110100000059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55555050000044 + 55555050000045.

It is an arithmetic number, because the mean of its divisors is an integer number (55555050000045).

Almost surely, 2111110100000089 is an apocalyptic number.

It is an amenable number.

111110100000089 is a deficient number, since it is larger than the sum of its proper divisors (1).

111110100000089 is an equidigital number, since it uses as much as digits as its factorization.

111110100000089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 23.

The spelling of 111110100000089 in words is "one hundred eleven trillion, one hundred ten billion, one hundred million, eighty-nine", and thus it is an aban number.