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13223000331 = 338343313627
BaseRepresentation
bin11000101000010011…
…01111100100001011
31021010112102000102000
430110021233210023
5204040042002311
610024034442043
7645451435242
oct142411574413
937115360360
1013223000331
115676047952
122690433323
13132964cc68
148d6217959
15525d01056
hex31426f90b

13223000331 has 32 divisors (see below), whose sum is σ = 19872894720. Its totient is φ = 8688373632.

The previous prime is 13223000321. The next prime is 13223000359. The reversal of 13223000331 is 13300032231.

13223000331 is a `hidden beast` number, since 1 + 32 + 2 + 300 + 0 + 331 = 666.

It is a de Polignac number, because none of the positive numbers 2k-13223000331 is a prime.

It is a super-2 number, since 2×132230003312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13223000321) 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, 963540 + ... + 977166.

It is an arithmetic number, because the mean of its divisors is an integer number (621027960).

Almost surely, 213223000331 is an apocalyptic number.

13223000331 is a deficient number, since it is larger than the sum of its proper divisors (6649894389).

13223000331 is a wasteful number, since it uses less digits than its factorization.

13223000331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14152 (or 14146 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13223000331 its reverse (13300032231), we get a palindrome (26523032562).

The spelling of 13223000331 in words is "thirteen billion, two hundred twenty-three million, three hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 9 27 83 249 433 747 1299 2241 3897 11691 13627 35939 40881 107817 122643 323451 367929 970353 1131041 3393123 5900491 10179369 17701473 30538107 53104419 159313257 489740753 1469222259 4407666777 13223000331