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122310131233 is a prime number
BaseRepresentation
bin111000111101001000…
…0000111111000100001
3102200201000002102210111
41301322100013320201
54000442343144413
6132104414331321
711556646650613
oct1617220077041
9380630072714
10122310131233
1147964975994
121b8554b9b41
13b6c2998a24
145cc4090db3
1532acbc8d3d
hex1c7a407e21

122310131233 has 2 divisors, whose sum is σ = 122310131234. Its totient is φ = 122310131232.

The previous prime is 122310131231. The next prime is 122310131261. The reversal of 122310131233 is 332131013221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76733432064 + 45576699169 = 277008^2 + 213487^2 .

It is a cyclic number.

It is not a de Polignac number, because 122310131233 - 21 = 122310131231 is a prime.

Together with 122310131231, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (122310131231) 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, 61155065616 + 61155065617.

It is an arithmetic number, because the mean of its divisors is an integer number (61155065617).

Almost surely, 2122310131233 is an apocalyptic number.

It is an amenable number.

122310131233 is a deficient number, since it is larger than the sum of its proper divisors (1).

122310131233 is an equidigital number, since it uses as much as digits as its factorization.

122310131233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 122310131233 its reverse (332131013221), we get a palindrome (454441144454).

The spelling of 122310131233 in words is "one hundred twenty-two billion, three hundred ten million, one hundred thirty-one thousand, two hundred thirty-three".