Search a number
-
+
122666617 is a prime number
BaseRepresentation
bin1110100111110…
…11111001111001
322112211002222001
413103323321321
5222400312432
620101101001
73016435423
oct723737171
9275732861
10122666617
1163273277
12350b7761
131c54b8c8
1412411813
15ab809e7
hex74fbe79

122666617 has 2 divisors, whose sum is σ = 122666618. Its totient is φ = 122666616.

The previous prime is 122666591. The next prime is 122666623. The reversal of 122666617 is 716666221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83466496 + 39200121 = 9136^2 + 6261^2 .

It is a cyclic number.

It is not a de Polignac number, because 122666617 - 211 = 122664569 is a prime.

It is not a weakly prime, because it can be changed into another prime (122666627) 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, 61333308 + 61333309.

It is an arithmetic number, because the mean of its divisors is an integer number (61333309).

Almost surely, 2122666617 is an apocalyptic number.

It is an amenable number.

122666617 is a deficient number, since it is larger than the sum of its proper divisors (1).

122666617 is an equidigital number, since it uses as much as digits as its factorization.

122666617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36288, while the sum is 37.

The square root of 122666617 is about 11075.4962417040. The cubic root of 122666617 is about 496.8692605220.

The spelling of 122666617 in words is "one hundred twenty-two million, six hundred sixty-six thousand, six hundred seventeen".