Search a number
-
+
122313210029 is a prime number
BaseRepresentation
bin111000111101001101…
…1110111100010101101
3102200201012212212002222
41301322123313202231
54000444140210104
6132105004325125
711560015062653
oct1617233674255
9380635785088
10122313210029
114796668904a
121b8565437a5
13b6c35061ba
145cc4652dd3
1532ad0d61be
hex1c7a6f78ad

122313210029 has 2 divisors, whose sum is σ = 122313210030. Its totient is φ = 122313210028.

The previous prime is 122313209987. The next prime is 122313210037. The reversal of 122313210029 is 920012313221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80486824804 + 41826385225 = 283702^2 + 204515^2 .

It is a cyclic number.

It is not a de Polignac number, because 122313210029 - 236 = 53593733293 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122313210079) 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, 61156605014 + 61156605015.

It is an arithmetic number, because the mean of its divisors is an integer number (61156605015).

Almost surely, 2122313210029 is an apocalyptic number.

It is an amenable number.

122313210029 is a deficient number, since it is larger than the sum of its proper divisors (1).

122313210029 is an equidigital number, since it uses as much as digits as its factorization.

122313210029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 122313210029 in words is "one hundred twenty-two billion, three hundred thirteen million, two hundred ten thousand, twenty-nine".