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214222013201089 is a prime number
BaseRepresentation
bin110000101101010101110010…
…111111111111101011000001
31001002111102110102120011210101
4300231111302333333223001
5211034303140334413324
62035340122334002401
763060013122032125
oct6055256277775301
91032442412504711
10214222013201089
1162292055771a03
12200397b2946401
13926c08402686a
143ac858798d585
1519b7615c9b944
hexc2d572fffac1

214222013201089 has 2 divisors, whose sum is σ = 214222013201090. Its totient is φ = 214222013201088.

The previous prime is 214222013201051. The next prime is 214222013201117. The reversal of 214222013201089 is 980102310222412.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 197393845294864 + 16828167906225 = 14049692^2 + 4102215^2 .

It is a cyclic number.

It is not a de Polignac number, because 214222013201089 - 211 = 214222013199041 is a prime.

It is not a weakly prime, because it can be changed into another prime (214222013201389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107111006600544 + 107111006600545.

It is an arithmetic number, because the mean of its divisors is an integer number (107111006600545).

Almost surely, 2214222013201089 is an apocalyptic number.

It is an amenable number.

214222013201089 is a deficient number, since it is larger than the sum of its proper divisors (1).

214222013201089 is an equidigital number, since it uses as much as digits as its factorization.

214222013201089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 214222013201089 in words is "two hundred fourteen trillion, two hundred twenty-two billion, thirteen million, two hundred one thousand, eighty-nine".