Search a number
-
+
122366401 is a prime number
BaseRepresentation
bin1110100101100…
…10100111000001
322112020212010221
413102302213001
5222311211101
620050423041
73014045233
oct722624701
9275225127
10122366401
1163088763
1234b91a81
131c475071
1412374253
15ab21aa1
hex74b29c1

122366401 has 2 divisors, whose sum is σ = 122366402. Its totient is φ = 122366400.

The previous prime is 122366389. The next prime is 122366423. The reversal of 122366401 is 104663221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 117700801 + 4665600 = 10849^2 + 2160^2 .

It is a cyclic number.

It is not a de Polignac number, because 122366401 - 29 = 122365889 is a prime.

It is not a weakly prime, because it can be changed into another prime (122366471) 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, 61183200 + 61183201.

It is an arithmetic number, because the mean of its divisors is an integer number (61183201).

Almost surely, 2122366401 is an apocalyptic number.

It is an amenable number.

122366401 is a deficient number, since it is larger than the sum of its proper divisors (1).

122366401 is an equidigital number, since it uses as much as digits as its factorization.

122366401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 122366401 is about 11061.9347765208. The cubic root of 122366401 is about 496.4635811195.

The spelling of 122366401 in words is "one hundred twenty-two million, three hundred sixty-six thousand, four hundred one".