| Base | Representation |
|---|---|
| bin | 10011110110110101… |
| … | …100101001110000000 |
| 3 | 2001000220102122000120 |
| 4 | 103312311211032000 |
| 5 | 322131201013100 |
| 6 | 13443401220240 |
| 7 | 1353233306502 |
| oct | 236665451600 |
| 9 | 61026378016 |
| 10 | 21321110400 |
| 11 | 90512358a7 |
| 12 | 4170491680 |
| 13 | 201a2c4575 |
| 14 | 106393dd72 |
| 15 | 84bc2b0a0 |
| hex | 4f6d65380 |
21321110400 has 384 divisors, whose sum is σ = 74528087040. Its totient is φ = 5345894400.
The previous prime is 21321110389. The next prime is 21321110401. The reversal of 21321110400 is 401112312.
It is a tau number, because it is divible by the number of its divisors (384).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 21321110400.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (21321110401) 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 47 ways as a sum of consecutive naturals, for example, 13468009 + ... + 13469591.
It is an arithmetic number, because the mean of its divisors is an integer number (194083560).
Almost surely, 221321110400 is an apocalyptic number.
21321110400 is a gapful number since it is divisible by the number (20) 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 21321110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37264043520).
21321110400 is an abundant number, since it is smaller than the sum of its proper divisors (53206976640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21321110400 is a wasteful number, since it uses less digits than its factorization.
21321110400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1694 (or 1677 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 15.
Adding to 21321110400 its reverse (401112312), we get a palindrome (21722222712).
The spelling of 21321110400 in words is "twenty-one billion, three hundred twenty-one million, one hundred ten thousand, four hundred".
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