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212100200222189 is a prime number
BaseRepresentation
bin110000001110011101101101…
…000101110100110111101101
31000210222120200122002211211012
4300032131231011310313231
5210300022202224102224
62031033253054035005
762450506454216636
oct6016355505646755
91023876618084735
10212100200222189
116164420a648134
121b956533aa8a65
139146c69ac2666
143a539c10a288d
15197c32da9980e
hexc0e76d174ded

212100200222189 has 2 divisors, whose sum is σ = 212100200222190. Its totient is φ = 212100200222188.

The previous prime is 212100200222107. The next prime is 212100200222237. The reversal of 212100200222189 is 981222002001212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111299503820164 + 100800696402025 = 10549858^2 + 10039955^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212100200222189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212100200222789) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106050100111094 + 106050100111095.

It is an arithmetic number, because the mean of its divisors is an integer number (106050100111095).

Almost surely, 2212100200222189 is an apocalyptic number.

It is an amenable number.

212100200222189 is a deficient number, since it is larger than the sum of its proper divisors (1).

212100200222189 is an equidigital number, since it uses as much as digits as its factorization.

212100200222189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 32.

The spelling of 212100200222189 in words is "two hundred twelve trillion, one hundred billion, two hundred million, two hundred twenty-two thousand, one hundred eighty-nine".