Search a number
-
+
122120232133 is a prime number
BaseRepresentation
bin111000110111011101…
…1101101110011000101
3102200012202202120012111
41301232323231303011
54000100234412013
6132033512221021
711552152563124
oct1615673556305
9380182676174
10122120232133
1147877761989
121b80199a771
13b69253a1b3
145ca6b7babb
15329b1b773d
hex1c6eeedcc5

122120232133 has 2 divisors, whose sum is σ = 122120232134. Its totient is φ = 122120232132.

The previous prime is 122120232089. The next prime is 122120232149. The reversal of 122120232133 is 331232021221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94078385284 + 28041846849 = 306722^2 + 167457^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122120232133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122120232193) 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, 61060116066 + 61060116067.

It is an arithmetic number, because the mean of its divisors is an integer number (61060116067).

Almost surely, 2122120232133 is an apocalyptic number.

It is an amenable number.

122120232133 is a deficient number, since it is larger than the sum of its proper divisors (1).

122120232133 is an equidigital number, since it uses as much as digits as its factorization.

122120232133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 122120232133 its reverse (331232021221), we get a palindrome (453352253354).

The spelling of 122120232133 in words is "one hundred twenty-two billion, one hundred twenty million, two hundred thirty-two thousand, one hundred thirty-three".