Search a number
-
+
122224313 is a prime number
BaseRepresentation
bin1110100100011…
…11111010111001
322111222122020102
413102033322321
5222242134223
620043405145
73012614051
oct722177271
9274878212
10122224313
1162aa0a32
1234b237b5
131c4254a3
1412338561
15aae4928
hex748feb9

122224313 has 2 divisors, whose sum is σ = 122224314. Its totient is φ = 122224312.

The previous prime is 122224301. The next prime is 122224331. The reversal of 122224313 is 313422221.

Together with next prime (122224331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107578384 + 14645929 = 10372^2 + 3827^2 .

It is a cyclic number.

It is not a de Polignac number, because 122224313 - 222 = 118030009 is a prime.

It is not a weakly prime, because it can be changed into another prime (122224363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61112156 + 61112157.

It is an arithmetic number, because the mean of its divisors is an integer number (61112157).

Almost surely, 2122224313 is an apocalyptic number.

It is an amenable number.

122224313 is a deficient number, since it is larger than the sum of its proper divisors (1).

122224313 is an equidigital number, since it uses as much as digits as its factorization.

122224313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 576, while the sum is 20.

The square root of 122224313 is about 11055.5105264298. The cubic root of 122224313 is about 496.2713474184.

Adding to 122224313 its reverse (313422221), we get a palindrome (435646534).

It can be divided in two parts, 1222 and 24313, that multiplied together give a triangular number (29710486 = T7708).

The spelling of 122224313 in words is "one hundred twenty-two million, two hundred twenty-four thousand, three hundred thirteen".