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13221200013 = 373141495343
BaseRepresentation
bin11000101000000101…
…11000000010001101
31021010102000112211120
430110002320002031
5204034111400023
610023532111153
7645430226430
oct142402700215
937112015746
1013221200013
11567502828a
12268b9054b9
13132916c698
148d5ca9817
15525a978e3
hex3140b808d

13221200013 has 32 divisors (see below), whose sum is σ = 21303754752. Its totient is φ = 7132924800.

The previous prime is 13221199997. The next prime is 13221200029. The reversal of 13221200013 is 31000212231.

It is an interprime number because it is at equal distance from previous prime (13221199997) and next prime (13221200029).

It is not a de Polignac number, because 13221200013 - 24 = 13221199997 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13221199965 and 13221200001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13221200413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220981 + ... + 274362.

It is an arithmetic number, because the mean of its divisors is an integer number (665742336).

Almost surely, 213221200013 is an apocalyptic number.

It is an amenable number.

13221200013 is a deficient number, since it is larger than the sum of its proper divisors (8082554739).

13221200013 is a wasteful number, since it uses less digits than its factorization.

13221200013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495425.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13221200013 its reverse (31000212231), we get a palindrome (44221412244).

The spelling of 13221200013 in words is "thirteen billion, two hundred twenty-one million, two hundred thousand, thirteen".

Divisors: 1 3 7 21 31 41 93 123 217 287 651 861 1271 3813 8897 26691 495343 1486029 3467401 10402203 15355633 20309063 46066899 60927189 107489431 142163441 322468293 426490323 629580953 1888742859 4407066671 13221200013