Search a number
-
+
122713133 is a prime number
BaseRepresentation
bin1110101000001…
…11010000101101
322112220110202212
413110013100231
5222403310013
620102100205
73020021144
oct724072055
9275813685
10122713133
11632a5214
123511a665
131c566b2a
141242475b
15ab8e6a8
hex750742d

122713133 has 2 divisors, whose sum is σ = 122713134. Its totient is φ = 122713132.

The previous prime is 122713121. The next prime is 122713189. The reversal of 122713133 is 331317221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109767529 + 12945604 = 10477^2 + 3598^2 .

It is a cyclic number.

It is not a de Polignac number, because 122713133 - 218 = 122450989 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 122713099 and 122713108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122713033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61356566 + 61356567.

It is an arithmetic number, because the mean of its divisors is an integer number (61356567).

Almost surely, 2122713133 is an apocalyptic number.

It is an amenable number.

122713133 is a deficient number, since it is larger than the sum of its proper divisors (1).

122713133 is an equidigital number, since it uses as much as digits as its factorization.

122713133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 756, while the sum is 23.

The square root of 122713133 is about 11077.5959937163. The cubic root of 122713133 is about 496.9320579651.

The spelling of 122713133 in words is "one hundred twenty-two million, seven hundred thirteen thousand, one hundred thirty-three".