Search a number
-
+
222121221112013 is a prime number
BaseRepresentation
bin110010100000010010100000…
…011110110100000011001101
31002010110120200210211221110112
4302200102200132310003031
5213103213230101041023
62104225025201445405
764533504632315306
oct6240224036640315
91063416623757415
10222121221112013
11648580986a1873
1220ab46b7640865
1396c2c30c98112
143cbca1dd017ad
151aa2d391b4478
hexca04a07b40cd

222121221112013 has 2 divisors, whose sum is σ = 222121221112014. Its totient is φ = 222121221112012.

The previous prime is 222121221112009. The next prime is 222121221112057. The reversal of 222121221112013 is 310211122121222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 190538765602084 + 31582455509929 = 13803578^2 + 5619827^2 .

It is a cyclic number.

It is not a de Polignac number, because 222121221112013 - 22 = 222121221112009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 222121221112013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222121221112073) 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, 111060610556006 + 111060610556007.

It is an arithmetic number, because the mean of its divisors is an integer number (111060610556007).

Almost surely, 2222121221112013 is an apocalyptic number.

It is an amenable number.

222121221112013 is a deficient number, since it is larger than the sum of its proper divisors (1).

222121221112013 is an equidigital number, since it uses as much as digits as its factorization.

222121221112013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 222121221112013 its reverse (310211122121222), we get a palindrome (532332343233235).

The spelling of 222121221112013 in words is "two hundred twenty-two trillion, one hundred twenty-one billion, two hundred twenty-one million, one hundred twelve thousand, thirteen".