Base | Representation |
---|---|
bin | 1100000001101000010001… |
… | …1110110111100001010100 |
3 | 1201211000122010002101110200 |
4 | 3000122010132313201110 |
5 | 3213112411244140312 |
6 | 44042055200420500 |
7 | 2533160520544053 |
oct | 300320436674124 |
9 | 51730563071420 |
10 | 13222132021332 |
11 | 423852490a113 |
12 | 1596655317730 |
13 | 74bac32a20b0 |
14 | 339d5161239a |
15 | 17de10b170dc |
hex | c06847b7854 |
13222132021332 has 144 divisors (see below), whose sum is σ = 36270856684608. Its totient is φ = 4037085826560.
The previous prime is 13222132021313. The next prime is 13222132021339. The reversal of 13222132021332 is 23312023122231.
13222132021332 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 2 + 1 + 320 + 2 + 1 + 332 = 666.
It is a junction number, because it is equal to n+sod(n) for n = 13222132021296 and 13222132021305.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13222132021339) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 48915832 + ... + 49185392.
Almost surely, 213222132021332 is an apocalyptic number.
13222132021332 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 13222132021332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18135428342304).
13222132021332 is an abundant number, since it is smaller than the sum of its proper divisors (23048724663276).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13222132021332 is a wasteful number, since it uses less digits than its factorization.
13222132021332 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 270390 (or 270385 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 27.
Adding to 13222132021332 its reverse (23312023122231), we get a palindrome (36534155143563).
The spelling of 13222132021332 in words is "thirteen trillion, two hundred twenty-two billion, one hundred thirty-two million, twenty-one thousand, three hundred thirty-two".
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