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13224044001 = 37243592601
BaseRepresentation
bin11000101000011011…
…01110010111100001
31021010121101001001110
430110031232113201
5204040323402001
610024113053533
7645463343100
oct142415562741
937117331043
1013224044001
11567669aa93
1226908572a9
13132992700c
148d640a037
15525e5a3d6
hex31436e5e1

13224044001 has 72 divisors (see below), whose sum is σ = 21385033824. Its totient is φ = 7243689600.

The previous prime is 13224043979. The next prime is 13224044003. The reversal of 13224044001 is 10044042231.

13224044001 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 13224044001 - 29 = 13224043489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13224044003) 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 71 ways as a sum of consecutive naturals, for example, 22003101 + ... + 22003701.

Almost surely, 213224044001 is an apocalyptic number.

It is an amenable number.

13224044001 is a deficient number, since it is larger than the sum of its proper divisors (8160989823).

13224044001 is an equidigital number, since it uses as much as digits as its factorization.

13224044001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 13224044001 its reverse (10044042231), we get a palindrome (23268086232).

The spelling of 13224044001 in words is "thirteen billion, two hundred twenty-four million, forty-four thousand, one".

Divisors: 1 3 7 21 43 49 59 129 147 177 301 413 601 903 1239 1803 2107 2537 2891 3481 4207 6321 7611 8673 10443 12621 17759 24367 25843 29449 35459 53277 73101 77529 88347 106377 124313 149683 170569 180901 248213 372939 449049 511707 542703 744639 1047781 1266307 1524737 1737491 2092081 3143343 3798921 4574211 5212473 6276243 7334467 10673159 14644567 22003401 32019477 43933701 74712113 89959483 102511969 224136339 269878449 307535907 629716381 1889149143 4408014667 13224044001