| Base | Representation |
|---|---|
| bin | 10011110110010000… |
| … | …001111000100000000 |
| 3 | 2001000020000020120000 |
| 4 | 103312100033010000 |
| 5 | 322121144222240 |
| 6 | 13442411320000 |
| 7 | 1353054143133 |
| oct | 236620170400 |
| 9 | 61006006500 |
| 10 | 21311320320 |
| 11 | 9046759424 |
| 12 | 4169150000 |
| 13 | 2018277414 |
| 14 | 106251221a |
| 15 | 84ae45430 |
| hex | 4f640f100 |
21311320320 has 180 divisors, whose sum is σ = 76256172300. Its totient is φ = 5682991104.
The previous prime is 21311320297. The next prime is 21311320333. The reversal of 21311320320 is 2302311312.
21311320320 is a `hidden beast` number, since 2 + 1 + 311 + 32 + 0 + 320 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 3798503424 + 17512816896 = 61632^2 + 132336^2 .
It is a tau number, because it is divible by the number of its divisors (180).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 21311320293 and 21311320302.
It is an unprimeable number.
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 19 ways as a sum of consecutive naturals, for example, 906 + ... + 206454.
Almost surely, 221311320320 is an apocalyptic number.
21311320320 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 21311320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38128086150).
21311320320 is an abundant number, since it is smaller than the sum of its proper divisors (54944851980).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21311320320 is an equidigital number, since it uses as much as digits as its factorization.
21311320320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 205582 (or 205559 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 21311320320 its reverse (2302311312), we get a palindrome (23613631632).
The spelling of 21311320320 in words is "twenty-one billion, three hundred eleven million, three hundred twenty thousand, three hundred twenty".
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