Search a number
-
+
2221211222213 is a prime number
BaseRepresentation
bin100000010100101010100…
…000011000000011000101
321212100100000210021020012
4200110222200120003011
5242343020033102323
64420224345120005
7316322453604044
oct40245240300305
97770300707205
102221211222213
117870129121a5
122ba59b189005
131315c81815b9
1479715a6855b
153cba36c3678
hex2052a8180c5

2221211222213 has 2 divisors, whose sum is σ = 2221211222214. Its totient is φ = 2221211222212.

The previous prime is 2221211222129. The next prime is 2221211222261. The reversal of 2221211222213 is 3122221121222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1840425964129 + 380785258084 = 1356623^2 + 617078^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221211222213 - 216 = 2221211156677 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2221211222273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110605611106 + 1110605611107.

It is an arithmetic number, because the mean of its divisors is an integer number (1110605611107).

Almost surely, 22221211222213 is an apocalyptic number.

It is an amenable number.

2221211222213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221211222213 is an equidigital number, since it uses as much as digits as its factorization.

2221211222213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 768, while the sum is 23.

Adding to 2221211222213 its reverse (3122221121222), we get a palindrome (5343432343435).

The spelling of 2221211222213 in words is "two trillion, two hundred twenty-one billion, two hundred eleven million, two hundred twenty-two thousand, two hundred thirteen".