Search a number
-
+
13224214401 = 379502111113
BaseRepresentation
bin11000101000011100…
…10111111110000001
31021010121200200210120
430110032113332001
5204040344330101
610024120450453
7645464652636
oct142416277601
937117620716
1013224214401
1156767a7012
122690919a29
131329986748
148d645218d
15525e90b36
hex314397f81

13224214401 has 16 divisors (see below), whose sum is σ = 17860642560. Its totient is φ = 8702029440.

The previous prime is 13224214351. The next prime is 13224214469. The reversal of 13224214401 is 10441242231.

13224214401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13224214401 - 27 = 13224214273 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13224218401) 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, 1184421 + ... + 1195533.

It is an arithmetic number, because the mean of its divisors is an integer number (1116290160).

Almost surely, 213224214401 is an apocalyptic number.

It is an amenable number.

13224214401 is a deficient number, since it is larger than the sum of its proper divisors (4636428159).

13224214401 is a wasteful number, since it uses less digits than its factorization.

13224214401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16216.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 13224214401 its reverse (10441242231), we get a palindrome (23665456632).

The spelling of 13224214401 in words is "thirteen billion, two hundred twenty-four million, two hundred fourteen thousand, four hundred one".

Divisors: 1 3 79 237 5021 11113 15063 33339 396659 877927 1189977 2633781 55798373 167395119 4408071467 13224214401