Search a number
-
+
122323320113233 is a prime number
BaseRepresentation
bin11011110100000010011110…
…000010110000100001010001
3121001002222212111110102001011
4123310002132002300201101
5112013121124422110413
61112054320230010521
734523365622254111
oct3364023602604121
9531088774412034
10122323320113233
1135a81035272548
12118770b44a6a41
135334068c9c6c5
14222c6a1c7b041
15e21d9c28533d
hex6f409e0b0851

122323320113233 has 2 divisors, whose sum is σ = 122323320113234. Its totient is φ = 122323320113232.

The previous prime is 122323320113177. The next prime is 122323320113249. The reversal of 122323320113233 is 332311023323221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91025471688529 + 31297848424704 = 9540727^2 + 5594448^2 .

It is a cyclic number.

It is not a de Polignac number, because 122323320113233 - 225 = 122323286558801 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122323320113195 and 122323320113204.

It is not a weakly prime, because it can be changed into another prime (122383320113233) 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, 61161660056616 + 61161660056617.

It is an arithmetic number, because the mean of its divisors is an integer number (61161660056617).

Almost surely, 2122323320113233 is an apocalyptic number.

It is an amenable number.

122323320113233 is a deficient number, since it is larger than the sum of its proper divisors (1).

122323320113233 is an equidigital number, since it uses as much as digits as its factorization.

122323320113233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 31.

Adding to 122323320113233 its reverse (332311023323221), we get a palindrome (454634343436454).

The spelling of 122323320113233 in words is "one hundred twenty-two trillion, three hundred twenty-three billion, three hundred twenty million, one hundred thirteen thousand, two hundred thirty-three".