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222102212113 is a prime number
BaseRepresentation
bin1100111011011001010…
…0101100111000010001
3210020021200111101122001
43032312110230320101
512114331131241423
6250010553114001
722021620440125
oct3166624547021
9706250441561
10222102212113
11862139aa301
12370656b8901
1317c373aa7b2
14aa6d66b585
155b9da42cad
hex33b652ce11

222102212113 has 2 divisors, whose sum is σ = 222102212114. Its totient is φ = 222102212112.

The previous prime is 222102212083. The next prime is 222102212173. The reversal of 222102212113 is 311212201222.

222102212113 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., 198784005904 + 23318206209 = 445852^2 + 152703^2 .

It is a cyclic number.

It is not a de Polignac number, because 222102212113 - 217 = 222102081041 is a prime.

It is not a weakly prime, because it can be changed into another prime (222102212173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111051106056 + 111051106057.

It is an arithmetic number, because the mean of its divisors is an integer number (111051106057).

Almost surely, 2222102212113 is an apocalyptic number.

It is an amenable number.

222102212113 is a deficient number, since it is larger than the sum of its proper divisors (1).

222102212113 is an equidigital number, since it uses as much as digits as its factorization.

222102212113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 222102212113 its reverse (311212201222), we get a palindrome (533314413335).

The spelling of 222102212113 in words is "two hundred twenty-two billion, one hundred two million, two hundred twelve thousand, one hundred thirteen".