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13224304401 = 3711377915149
BaseRepresentation
bin11000101000011101…
…01101111100010001
31021010121212021020220
430110032231330101
5204040410220101
610024122423253
7645465506220
oct142416557421
937117767226
1013224304401
1156768586a0
122690961b29
1313299b86b9
148d6476cb7
15525eac636
hex3143adf11

13224304401 has 32 divisors (see below), whose sum is σ = 21990528000. Its totient is φ = 6867497280.

The previous prime is 13224304397. The next prime is 13224304417. The reversal of 13224304401 is 10440342231.

13224304401 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 13224304401 - 22 = 13224304397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13224304481) 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 31 ways as a sum of consecutive naturals, for example, 865375 + ... + 880523.

It is an arithmetic number, because the mean of its divisors is an integer number (687204000).

Almost surely, 213224304401 is an apocalyptic number.

13224304401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13224304401 is a deficient number, since it is larger than the sum of its proper divisors (8766223599).

13224304401 is a wasteful number, since it uses less digits than its factorization.

13224304401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18949.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13224304401 its reverse (10440342231), we get a palindrome (23664646632).

The spelling of 13224304401 in words is "thirteen billion, two hundred twenty-four million, three hundred four thousand, four hundred one".

Divisors: 1 3 7 11 21 33 77 231 3779 11337 15149 26453 41569 45447 79359 106043 124707 166639 290983 318129 499917 872949 1166473 3499419 57248071 171744213 400736497 629728781 1202209491 1889186343 4408101467 13224304401