Search a number
-
+
122417129 is a prime number
BaseRepresentation
bin1110100101111…
…10111111101001
322112100102201202
413102332333221
5222314322004
620051453545
73014346152
oct722767751
9275312652
10122417129
116311288a
1234bb72b5
131c492193
1412388929
15ab31b1e
hex74befe9

122417129 has 2 divisors, whose sum is σ = 122417130. Its totient is φ = 122417128.

The previous prime is 122417069. The next prime is 122417189. The reversal of 122417129 is 921714221.

It is a balanced prime because it is at equal distance from previous prime (122417069) and next prime (122417189).

It can be written as a sum of positive squares in only one way, i.e., 121992025 + 425104 = 11045^2 + 652^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122417129 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (122417189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61208564 + 61208565.

It is an arithmetic number, because the mean of its divisors is an integer number (61208565).

Almost surely, 2122417129 is an apocalyptic number.

It is an amenable number.

122417129 is a deficient number, since it is larger than the sum of its proper divisors (1).

122417129 is an equidigital number, since it uses as much as digits as its factorization.

122417129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2016, while the sum is 29.

The square root of 122417129 is about 11064.2274470475. The cubic root of 122417129 is about 496.5321759979.

The spelling of 122417129 in words is "one hundred twenty-two million, four hundred seventeen thousand, one hundred twenty-nine".