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13220312130 = 234516321373
BaseRepresentation
bin11000100111111110…
…11111010001000010
31021010100100102220000
430103333133101002
5204033344442010
610023501100430
7645416541024
oct142377372102
937110312800
1013220312130
1156745811a3
12268b557716
131328c1b4cc
148d5b18014
1552596e7c0
hex313fdf442

13220312130 has 40 divisors (see below), whose sum is σ = 35547952572. Its totient is φ = 3525416352.

The previous prime is 13220312129. The next prime is 13220312159. The reversal of 13220312130 is 3121302231.

13220312130 is a `hidden beast` number, since 1 + 3 + 220 + 312 + 130 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10874944089 + 2345368041 = 104283^2 + 48429^2 .

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 (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8159877 + ... + 8161496.

Almost surely, 213220312130 is an apocalyptic number.

13220312130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13220312130 is an abundant number, since it is smaller than the sum of its proper divisors (22327640442).

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

13220312130 is a wasteful number, since it uses less digits than its factorization.

13220312130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16321392 (or 16321383 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13220312130 its reverse (3121302231), we get a palindrome (16341614361).

The spelling of 13220312130 in words is "thirteen billion, two hundred twenty million, three hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 16321373 32642746 48964119 81606865 97928238 146892357 163213730 244820595 293784714 440677071 489641190 734461785 881354142 1322031213 1468923570 2203385355 2644062426 4406770710 6610156065 13220312130