| Base | Representation |
|---|---|
| bin | 11000110011001011… |
| … | …01110111110000000 |
| 3 | 1021100220001122202102 |
| 4 | 30121211232332000 |
| 5 | 204231420132000 |
| 6 | 10041054005532 |
| 7 | 650640015410 |
| oct | 143145567600 |
| 9 | 37326048672 |
| 10 | 13314224000 |
| 11 | 5712594610 |
| 12 | 26b6aa68a8 |
| 13 | 134250cb6c |
| 14 | 9043a2640 |
| 15 | 52dd203d5 |
| hex | 31996ef80 |
13314224000 has 512 divisors, whose sum is σ = 42068782080. Its totient is φ = 4070400000.
The previous prime is 13314223991. The next prime is 13314224009. The reversal of 13314224000 is 42241331.
13314224000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (13314223991) and next prime (13314224009).
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13314224009) 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 63 ways as a sum of consecutive naturals, for example, 124431947 + ... + 124432053.
It is an arithmetic number, because the mean of its divisors is an integer number (82165590).
Almost surely, 213314224000 is an apocalyptic number.
13314224000 is a gapful number since it is divisible by the number (10) 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 13314224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21034391040).
13314224000 is an abundant number, since it is smaller than the sum of its proper divisors (28754558080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13314224000 is a wasteful number, since it uses less digits than its factorization.
13314224000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 255 (or 233 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 20.
Adding to 13314224000 its reverse (42241331), we get a palindrome (13356465331).
The spelling of 13314224000 in words is "thirteen billion, three hundred fourteen million, two hundred twenty-four thousand".
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