Search a number
-
+
123032040311233 is a prime number
BaseRepresentation
bin11011111110010110100001…
…000011110000100111000001
3121010121202012102112202121101
4123332112201003300213001
5112111224104304424413
61113400050011254401
734625525436454324
oct3376264103604701
9533552172482541
10123032040311233
1136224660353a49
121197052544a401
135385b43c41401
142254ad53607bb
15e3552bb99edd
hex6fe5a10f09c1

123032040311233 has 2 divisors, whose sum is σ = 123032040311234. Its totient is φ = 123032040311232.

The previous prime is 123032040311209. The next prime is 123032040311329. The reversal of 123032040311233 is 332113040230321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68103294110784 + 54928746200449 = 8252472^2 + 7411393^2 .

It is a cyclic number.

It is not a de Polignac number, because 123032040311233 - 225 = 123032006756801 is a prime.

It is not a weakly prime, because it can be changed into another prime (123032010311233) 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, 61516020155616 + 61516020155617.

It is an arithmetic number, because the mean of its divisors is an integer number (61516020155617).

Almost surely, 2123032040311233 is an apocalyptic number.

It is an amenable number.

123032040311233 is a deficient number, since it is larger than the sum of its proper divisors (1).

123032040311233 is an equidigital number, since it uses as much as digits as its factorization.

123032040311233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 123032040311233 its reverse (332113040230321), we get a palindrome (455145080541554).

The spelling of 123032040311233 in words is "one hundred twenty-three trillion, thirty-two billion, forty million, three hundred eleven thousand, two hundred thirty-three".