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222102000220013 is a prime number
BaseRepresentation
bin110010100000000000100110…
…110100111011011101101101
31002010101202002021100110110122
4302200000212310323131231
5213102404344024020023
62104212130023214325
764532224420402304
oct6240004664733555
91063352067313418
10222102000220013
116484aa24a34161
1220ab0a325a73a5
1396c1189b39c44
143cbbb192a743b
151aa25b1a452c8
hexca0026d3b76d

222102000220013 has 2 divisors, whose sum is σ = 222102000220014. Its totient is φ = 222102000220012.

The previous prime is 222102000220007. The next prime is 222102000220081. The reversal of 222102000220013 is 310022000201222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 123515728020169 + 98586272199844 = 11113763^2 + 9929062^2 .

It is a cyclic number.

It is not a de Polignac number, because 222102000220013 - 24 = 222102000219997 is a prime.

It is a super-3 number, since 3×2221020002200133 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222102000219973 and 222102000220000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222102000220003) 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, 111051000110006 + 111051000110007.

It is an arithmetic number, because the mean of its divisors is an integer number (111051000110007).

Almost surely, 2222102000220013 is an apocalyptic number.

It is an amenable number.

222102000220013 is a deficient number, since it is larger than the sum of its proper divisors (1).

222102000220013 is an equidigital number, since it uses as much as digits as its factorization.

222102000220013 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 17.

Adding to 222102000220013 its reverse (310022000201222), we get a palindrome (532124000421235).

The spelling of 222102000220013 in words is "two hundred twenty-two trillion, one hundred two billion, two hundred twenty thousand, thirteen".