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222221311230013 is a prime number
BaseRepresentation
bin110010100001101111101110…
…010100010100000000111101
31002010211011001021001202100221
4302201233232110110000331
5213111333221133330023
62104343021104221341
764543650152300434
oct6241575624240075
91063734037052327
10222221311230013
116489658a989957
1220b0bb8b60a851
1396cc4c236b404
143cc37d6d0011b
151aa57462a085d
hexca1bee51403d

222221311230013 has 2 divisors, whose sum is σ = 222221311230014. Its totient is φ = 222221311230012.

The previous prime is 222221311230007. The next prime is 222221311230047. The reversal of 222221311230013 is 310032113122222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 192753154972249 + 29468156257764 = 13883557^2 + 5428458^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-222221311230013 is a prime.

It is a super-2 number, since 2×2222213112300132 (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 222221311230013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222221311236013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111110655615006 + 111110655615007.

It is an arithmetic number, because the mean of its divisors is an integer number (111110655615007).

Almost surely, 2222221311230013 is an apocalyptic number.

It is an amenable number.

222221311230013 is a deficient number, since it is larger than the sum of its proper divisors (1).

222221311230013 is an equidigital number, since it uses as much as digits as its factorization.

222221311230013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 222221311230013 its reverse (310032113122222), we get a palindrome (532253424352235).

The spelling of 222221311230013 in words is "two hundred twenty-two trillion, two hundred twenty-one billion, three hundred eleven million, two hundred thirty thousand, thirteen".