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13221330012 = 22321133387197
BaseRepresentation
bin11000101000000110…
…10111110001011100
31021010102021011011100
430110003113301130
5204034130030022
610023534553100
7645431310432
oct142403276134
937112234140
1013221330012
115675106a20
12268b968790
1313291b68c7
148d5d00d52
15525ac11ac
hex3140d7c5c

13221330012 has 36 divisors (see below), whose sum is σ = 36458820216. Its totient is φ = 4006463520.

The previous prime is 13221329977. The next prime is 13221330019. The reversal of 13221330012 is 21003312231.

13221330012 is a `hidden beast` number, since 1 + 322 + 1 + 330 + 0 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13221330019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16693203 + ... + 16693994.

It is an arithmetic number, because the mean of its divisors is an integer number (1012745006).

Almost surely, 213221330012 is an apocalyptic number.

13221330012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13221330012 is an abundant number, since it is smaller than the sum of its proper divisors (23237490204).

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

13221330012 is a wasteful number, since it uses less digits than its factorization.

13221330012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33387218 (or 33387213 counting only the distinct ones).

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

Adding to 13221330012 its reverse (21003312231), we get a palindrome (34224642243).

The spelling of 13221330012 in words is "thirteen billion, two hundred twenty-one million, three hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 33387197 66774394 100161591 133548788 200323182 300484773 367259167 400646364 600969546 734518334 1101777501 1201939092 1469036668 2203555002 3305332503 4407110004 6610665006 13221330012