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13006000530 = 2325683321149
BaseRepresentation
bin11000001110011011…
…11101000110010010
31020120102002021122100
430013031331012102
5203114014004110
65550323421230
7640205115615
oct140715750622
936512067570
1013006000530
115574603776
12262b824816
1312c36c3003
148b548c17c
15511c39bc0
hex30737d192

13006000530 has 48 divisors (see below), whose sum is σ = 33822149400. Its totient is φ = 3467595264.

The previous prime is 13006000529. The next prime is 13006000577. The reversal of 13006000530 is 3500060031.

13006000530 is a `hidden beast` number, since 1 + 30 + 0 + 600 + 0 + 5 + 30 = 666.

13006000530 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4933517121 + 8072483409 = 70239^2 + 89847^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 604396 + ... + 625544.

Almost surely, 213006000530 is an apocalyptic number.

13006000530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13006000530 is an abundant number, since it is smaller than the sum of its proper divisors (20816148870).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13006000530 is a wasteful number, since it uses less digits than its factorization.

13006000530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27995 (or 27992 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

Adding to 13006000530 its reverse (3500060031), we get a palindrome (16506060561).

The spelling of 13006000530 in words is "thirteen billion, six million, five hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 6833 13666 20499 21149 34165 40998 42298 61497 63447 68330 102495 105745 122994 126894 190341 204990 211490 307485 317235 380682 614970 634470 951705 1903410 144511117 289022234 433533351 722555585 867066702 1300600053 1445111170 2167666755 2601200106 4335333510 6503000265 13006000530