Base | Representation |
---|---|
bin | 1001101100110100110111… |
… | …11100111001001100100000 |
3 | 2210112021010121122202000202 |
4 | 10312122123330321030200 |
5 | 10243443224022221303 |
6 | 113211304303404332 |
7 | 4331100400341536 |
oct | 466323374711440 |
9 | 83467117582022 |
10 | 21331424023328 |
11 | 6884673830041 |
12 | 248620a8b36a8 |
13 | bb97107b3503 |
14 | 53a637018156 |
15 | 26ed2c922c88 |
hex | 13669bf39320 |
21331424023328 has 96 divisors (see below), whose sum is σ = 44038197624960. Its totient is φ = 10158115502080.
The previous prime is 21331424023321. The next prime is 21331424023363. The reversal of 21331424023328 is 82332042413312.
It is a junction number, because it is equal to n+sod(n) for n = 21331424023291 and 21331424023300.
It is not an unprimeable number, because it can be changed into a prime (21331424023321) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19776500 + ... + 20827212.
It is an arithmetic number, because the mean of its divisors is an integer number (458731225260).
Almost surely, 221331424023328 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 21331424023328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22019098812480).
21331424023328 is an abundant number, since it is smaller than the sum of its proper divisors (22706773601632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21331424023328 is a wasteful number, since it uses less digits than its factorization.
21331424023328 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1051050 (or 1051042 counting only the distinct ones).
The product of its (nonzero) digits is 165888, while the sum is 38.
The spelling of 21331424023328 in words is "twenty-one trillion, three hundred thirty-one billion, four hundred twenty-four million, twenty-three thousand, three hundred twenty-eight".
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