Search a number
-
+
2222202312301 is a prime number
BaseRepresentation
bin100000010101100101100…
…101000101011001101101
321212102220002200212020111
4200111211211011121231
5242402032242443201
64420510551420021
7316356146665366
oct40254545053155
97772802625214
102222202312301
117874812aa914
122ba817084611
131317255bc13a
14797ab536b6d
153cc106e4b51
hex2056594566d

2222202312301 has 2 divisors, whose sum is σ = 2222202312302. Its totient is φ = 2222202312300.

The previous prime is 2222202312229. The next prime is 2222202312311. The reversal of 2222202312301 is 1032132022222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1467310678276 + 754891634025 = 1211326^2 + 868845^2 .

It is a cyclic number.

It is not a de Polignac number, because 2222202312301 - 217 = 2222202181229 is a prime.

It is a super-2 number, since 2×22222023123012 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2222202312311) 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, 1111101156150 + 1111101156151.

It is an arithmetic number, because the mean of its divisors is an integer number (1111101156151).

Almost surely, 22222202312301 is an apocalyptic number.

It is an amenable number.

2222202312301 is a deficient number, since it is larger than the sum of its proper divisors (1).

2222202312301 is an equidigital number, since it uses as much as digits as its factorization.

2222202312301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 2222202312301 its reverse (1032132022222), we get a palindrome (3254334334523).

The spelling of 2222202312301 in words is "two trillion, two hundred twenty-two billion, two hundred two million, three hundred twelve thousand, three hundred one".