Search a number
-
+
122414301 = 3314873049
BaseRepresentation
bin1110100101111…
…10010011011101
322112100021212000
413102332103131
5222314224201
620051432513
73014335002
oct722762335
9275307760
10122414301
1163110749
1234bb5739
131c490ac9
14123878a9
15ab30d86
hex74be4dd

122414301 has 16 divisors (see below), whose sum is σ = 181536000. Its totient is φ = 81527904.

The previous prime is 122414287. The next prime is 122414309. The reversal of 122414301 is 103414221.

It is not a de Polignac number, because 122414301 - 211 = 122412253 is a prime.

It is a super-2 number, since 2×1224143012 = 29970522178637202, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122414309) 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 in 15 ways as a sum of consecutive naturals, for example, 38625 + ... + 41673.

It is an arithmetic number, because the mean of its divisors is an integer number (11346000).

Almost surely, 2122414301 is an apocalyptic number.

It is an amenable number.

122414301 is a deficient number, since it is larger than the sum of its proper divisors (59121699).

122414301 is a wasteful number, since it uses less digits than its factorization.

122414301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4545 (or 4539 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 122414301 is about 11064.0996470567. The cubic root of 122414301 is about 496.5283524485.

Adding to 122414301 its reverse (103414221), we get a palindrome (225828522).

The spelling of 122414301 in words is "one hundred twenty-two million, four hundred fourteen thousand, three hundred one".

Divisors: 1 3 9 27 1487 3049 4461 9147 13383 27441 40149 82323 4533863 13601589 40804767 122414301