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211211120012089 is a prime number
BaseRepresentation
bin110000000001100001101011…
…110001111110101100111001
31000200211120211002211120020211
4300001201223301332230321
5210140440333210341324
62025113014331351121
762326333310142361
oct6001415361765471
91020746732746224
10211211120012089
1161331150a9109a
121b8321688b24a1
1390b117a758cc2
143a2295c06b9a1
151964145066294
hexc0186bc7eb39

211211120012089 has 2 divisors, whose sum is σ = 211211120012090. Its totient is φ = 211211120012088.

The previous prime is 211211120011951. The next prime is 211211120012093. The reversal of 211211120012089 is 980210021112112.

It is a happy number.

211211120012089 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122726337988864 + 88484782023225 = 11078192^2 + 9406635^2 .

It is a cyclic number.

It is not a de Polignac number, because 211211120012089 - 223 = 211211111623481 is a prime.

It is a super-2 number, since 2×2112111200120892 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211211120012089.

It is not a weakly prime, because it can be changed into another prime (211211120016089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105605560006044 + 105605560006045.

It is an arithmetic number, because the mean of its divisors is an integer number (105605560006045).

Almost surely, 2211211120012089 is an apocalyptic number.

It is an amenable number.

211211120012089 is a deficient number, since it is larger than the sum of its proper divisors (1).

211211120012089 is an equidigital number, since it uses as much as digits as its factorization.

211211120012089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 31.

The spelling of 211211120012089 in words is "two hundred eleven trillion, two hundred eleven billion, one hundred twenty million, twelve thousand, eighty-nine".