| Base | Representation |
|---|---|
| bin | 11000101000000110… |
| … | …10000011110100100 |
| 3 | 1021010102012122011200 |
| 4 | 30110003100132210 |
| 5 | 204034123101012 |
| 6 | 10023534202500 |
| 7 | 645431124345 |
| oct | 142403203644 |
| 9 | 37112178150 |
| 10 | 13221300132 |
| 11 | 5675096527 |
| 12 | 268b953430 |
| 13 | 13291a6121 |
| 14 | 8d5cd40cc |
| 15 | 525ab73dc |
| hex | 3140d07a4 |
13221300132 has 72 divisors (see below), whose sum is σ = 34346280696. Its totient is φ = 4285177344.
The previous prime is 13221300097. The next prime is 13221300133. The reversal of 13221300132 is 23100312231.
13221300132 is a `hidden beast` number, since 13 + 221 + 300 + 132 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 5039012196 + 8182287936 = 70986^2 + 90456^2 .
It is a super-3 number, since 3×132213001323 (a number of 31 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (13221300133) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3244048 + ... + 3248120.
Almost surely, 213221300132 is an apocalyptic number.
13221300132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 13221300132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17173140348).
13221300132 is an abundant number, since it is smaller than the sum of its proper divisors (21124980564).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13221300132 is a wasteful number, since it uses less digits than its factorization.
13221300132 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6557 (or 6552 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 13221300132 its reverse (23100312231), we get a palindrome (36321612363).
The spelling of 13221300132 in words is "thirteen billion, two hundred twenty-one million, three hundred thousand, one hundred thirty-two".
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