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222222212002013 is a prime number
BaseRepresentation
bin110010100001110000100100…
…000000011111000011011101
31002010211020101001000201020212
4302201300210000133003131
5213111342042233031023
62104343250323022205
764544011400603036
oct6241604400370335
91063736331021225
10222222212002013
1164896a02399223
1220b101a120a965
1396cc606b752b2
143cc38807bba8d
151aa579a3d0e78
hexca1c2401f0dd

222222212002013 has 2 divisors, whose sum is σ = 222222212002014. Its totient is φ = 222222212002012.

The previous prime is 222222212002001. The next prime is 222222212002027. The reversal of 222222212002013 is 310200212222222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 178614190374244 + 43608021627769 = 13364662^2 + 6603637^2 .

It is a cyclic number.

It is not a de Polignac number, because 222222212002013 - 26 = 222222212001949 is a prime.

It is a super-2 number, since 2×2222222120020132 (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 222222212002013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222222212002313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111111106001006 + 111111106001007.

It is an arithmetic number, because the mean of its divisors is an integer number (111111106001007).

Almost surely, 2222222212002013 is an apocalyptic number.

It is an amenable number.

222222212002013 is a deficient number, since it is larger than the sum of its proper divisors (1).

222222212002013 is an equidigital number, since it uses as much as digits as its factorization.

222222212002013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 222222212002013 its reverse (310200212222222), we get a palindrome (532422424224235).

The spelling of 222222212002013 in words is "two hundred twenty-two trillion, two hundred twenty-two billion, two hundred twelve million, two thousand, thirteen".