Search a number
-
+
11222113313 is a prime number
BaseRepresentation
bin10100111001110001…
…11101110000100001
31001222002101102102102
422130320331300201
5140440330111223
65053320500145
7545044250345
oct123470756041
931862342372
1011222113313
114839654914
12221231a655
13109ac54c48
147865ab625
1545a315928
hex29ce3dc21

11222113313 has 2 divisors, whose sum is σ = 11222113314. Its totient is φ = 11222113312.

The previous prime is 11222113307. The next prime is 11222113351. The reversal of 11222113313 is 31331122211.

It is a happy number.

11222113313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9145670689 + 2076442624 = 95633^2 + 45568^2 .

It is a cyclic number.

It is not a de Polignac number, because 11222113313 - 226 = 11155004449 is a prime.

It is not a weakly prime, because it can be changed into another prime (11222113363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5611056656 + 5611056657.

It is an arithmetic number, because the mean of its divisors is an integer number (5611056657).

Almost surely, 211222113313 is an apocalyptic number.

It is an amenable number.

11222113313 is a deficient number, since it is larger than the sum of its proper divisors (1).

11222113313 is an equidigital number, since it uses as much as digits as its factorization.

11222113313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 216, while the sum is 20.

Adding to 11222113313 its reverse (31331122211), we get a palindrome (42553235524).

The spelling of 11222113313 in words is "eleven billion, two hundred twenty-two million, one hundred thirteen thousand, three hundred thirteen".