Search a number
-
+
322113201121 is a prime number
BaseRepresentation
bin1001010111111110111…
…00010110001111100001
31010210102121211000222001
410223333130112033201
520234141434413441
6403550551444001
732162160014425
oct4537734261741
91123377730861
10322113201121
11114675560628
1252517086601
13244b5266cba
1411839d4cb85
1585a3bed731
hex4aff7163e1

322113201121 has 2 divisors, whose sum is σ = 322113201122. Its totient is φ = 322113201120.

The previous prime is 322113201107. The next prime is 322113201161. The reversal of 322113201121 is 121102311223.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 241179210000 + 80933991121 = 491100^2 + 284489^2 .

It is an emirp because it is prime and its reverse (121102311223) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 322113201121 - 219 = 322112676833 is a prime.

It is not a weakly prime, because it can be changed into another prime (322113201161) 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, 161056600560 + 161056600561.

It is an arithmetic number, because the mean of its divisors is an integer number (161056600561).

Almost surely, 2322113201121 is an apocalyptic number.

It is an amenable number.

322113201121 is a deficient number, since it is larger than the sum of its proper divisors (1).

322113201121 is an equidigital number, since it uses as much as digits as its factorization.

322113201121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 322113201121 its reverse (121102311223), we get a palindrome (443215512344).

The spelling of 322113201121 in words is "three hundred twenty-two billion, one hundred thirteen million, two hundred one thousand, one hundred twenty-one".