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13221444312 = 2332183631171
BaseRepresentation
bin11000101000000111…
…10011101011011000
31021010102110221221200
430110003303223120
5204034142204222
610023541234200
7645432264606
oct142403635330
937112427850
1013221444312
11567518488a
12268ba02960
13132922693b
148d5d30876
15525ae4eac
hex3140f3ad8

13221444312 has 24 divisors (see below), whose sum is σ = 35808078540. Its totient is φ = 4407148080.

The previous prime is 13221444287. The next prime is 13221444319. The reversal of 13221444312 is 21344412231.

13221444312 is a `hidden beast` number, since 1 + 3 + 2 + 214 + 443 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13221444319) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 91815514 + ... + 91815657.

Almost surely, 213221444312 is an apocalyptic number.

13221444312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13221444312 is an abundant number, since it is smaller than the sum of its proper divisors (22586634228).

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

13221444312 is a wasteful number, since it uses less digits than its factorization.

13221444312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183631183 (or 183631176 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 13221444312 its reverse (21344412231), we get a palindrome (34565856543).

The spelling of 13221444312 in words is "thirteen billion, two hundred twenty-one million, four hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 183631171 367262342 550893513 734524684 1101787026 1469049368 1652680539 2203574052 3305361078 4407148104 6610722156 13221444312