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222121121220017 is a prime number
BaseRepresentation
bin110010100000010010011010…
…100001110000010110110001
31002010110120102211212220101222
4302200102122201300112301
5213103213024013020032
62104225011232434425
764533502310253065
oct6240223241602661
91063416384786358
10222121121220017
11648580472744a8
1220ab468a0a8a15
1396c2c16391826
143cbca1093baa5
151aa2d30531a12
hexca049a8705b1

222121121220017 has 2 divisors, whose sum is σ = 222121121220018. Its totient is φ = 222121121220016.

The previous prime is 222121121219951. The next prime is 222121121220121. The reversal of 222121121220017 is 710022121121222.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115435276534561 + 106685844685456 = 10744081^2 + 10328884^2 .

It is a cyclic number.

It is not a de Polignac number, because 222121121220017 - 238 = 221846243313073 is a prime.

It is not a weakly prime, because it can be changed into another prime (222121121520017) 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, 111060560610008 + 111060560610009.

It is an arithmetic number, because the mean of its divisors is an integer number (111060560610009).

Almost surely, 2222121121220017 is an apocalyptic number.

It is an amenable number.

222121121220017 is a deficient number, since it is larger than the sum of its proper divisors (1).

222121121220017 is an equidigital number, since it uses as much as digits as its factorization.

222121121220017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 896, while the sum is 26.

Adding to 222121121220017 its reverse (710022121121222), we get a palindrome (932143242341239).

The spelling of 222121121220017 in words is "two hundred twenty-two trillion, one hundred twenty-one billion, one hundred twenty-one million, two hundred twenty thousand, seventeen".