| Base | Representation |
|---|---|
| bin | 111100110111010… |
| … | …110110100000000 |
| 3 | 2122011110111200000 |
| 4 | 330313112310000 |
| 5 | 4042403104240 |
| 6 | 245154400000 |
| 7 | 34206404100 |
| oct | 7467266400 |
| 9 | 2564414600 |
| 10 | 1021144320 |
| 11 | 484455929 |
| 12 | 245b90000 |
| 13 | 133731411 |
| 14 | 99893200 |
| 15 | 5e9ab430 |
| hex | 3cdd6d00 |
1021144320 has 648 divisors, whose sum is σ = 4325709024. Its totient is φ = 229920768.
The previous prime is 1021144297. The next prime is 1021144339. The reversal of 1021144320 is 234411201.
1021144320 is a `hidden beast` number, since 10 + 211 + 443 + 2 + 0 = 666.
1021144320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (648).
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 = 1021144293 and 1021144302.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15240927 + ... + 15240993.
Almost surely, 21021144320 is an apocalyptic number.
1021144320 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 1021144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2162854512).
1021144320 is an abundant number, since it is smaller than the sum of its proper divisors (3304564704).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1021144320 is an frugal number, since it uses more digits than its factorization.
1021144320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 117 (or 84 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 1021144320 is about 31955.3488480411. The cubic root of 1021144320 is about 1006.9990062929. Note that the first 3 decimals are identical.
Adding to 1021144320 its reverse (234411201), we get a palindrome (1255555521).
The spelling of 1021144320 in words is "one billion, twenty-one million, one hundred forty-four thousand, three hundred twenty".
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