Search a number
-
+
122201309 is a prime number
BaseRepresentation
bin1110100100010…
…10010011011101
322111221110200102
413102022103131
5222240420214
620043110445
73012460016
oct722122335
9274843612
10122201309
1162a8571a
1234b12425
131c417b89
141233000d
15aadcbde
hex748a4dd

122201309 has 2 divisors, whose sum is σ = 122201310. Its totient is φ = 122201308.

The previous prime is 122201257. The next prime is 122201311. The reversal of 122201309 is 903102221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85562500 + 36638809 = 9250^2 + 6053^2 .

It is a cyclic number.

It is not a de Polignac number, because 122201309 - 224 = 105424093 is a prime.

It is a Sophie Germain prime.

Together with 122201311, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122201329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61100654 + 61100655.

It is an arithmetic number, because the mean of its divisors is an integer number (61100655).

Almost surely, 2122201309 is an apocalyptic number.

It is an amenable number.

122201309 is a deficient number, since it is larger than the sum of its proper divisors (1).

122201309 is an equidigital number, since it uses as much as digits as its factorization.

122201309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 122201309 is about 11054.4700913250. The cubic root of 122201309 is about 496.2402108355.

The spelling of 122201309 in words is "one hundred twenty-two million, two hundred one thousand, three hundred nine".