Search a number
-
+
13812217218 = 232277012
BaseRepresentation
bin11001101110100010…
…11011010110000010
31022122121010100000200
430313101123112002
5211241411422333
610202323430030
7666164623602
oct146721332602
938577110020
1013812217218
115948700258
122815825316
1313c17416c7
14950594c02
1555c8ddc13
hex33745b582

13812217218 has 18 divisors (see below), whose sum is σ = 29927551017. Its totient is φ = 4603906200.

The previous prime is 13812217217. The next prime is 13812217277. The reversal of 13812217218 is 81271221831.

13812217218 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 2 ways, for example, as 13717797129 + 94420089 = 117123^2 + 9717^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=83103.

It is not an unprimeable number, because it can be changed into a prime (13812217213) 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 8 ways as a sum of consecutive naturals, for example, 484768 + ... + 512468.

Almost surely, 213812217218 is an apocalyptic number.

13812217218 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

13812217218 is an abundant number, since it is smaller than the sum of its proper divisors (16115333799).

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

13812217218 is an frugal number, since it uses more digits than its factorization.

13812217218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55410 (or 27706 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The spelling of 13812217218 in words is "thirteen billion, eight hundred twelve million, two hundred seventeen thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 18 27701 55402 83103 166206 249309 498618 767345401 1534690802 2302036203 4604072406 6906108609 13812217218