| Base | Representation |
|---|---|
| bin | 100111010111110… |
| … | …1110000100100000 |
| 3 | 10102001221110211200 |
| 4 | 1032233232010200 |
| 5 | 10201202213240 |
| 6 | 335032241200 |
| 7 | 44511303504 |
| oct | 11657560440 |
| 9 | 3361843750 |
| 10 | 1321132320 |
| 11 | 6188212a2 |
| 12 | 30a540200 |
| 13 | 180926901 |
| 14 | c7662304 |
| 15 | 7aeb6930 |
| hex | 4ebee120 |
1321132320 has 288 divisors, whose sum is σ = 4799995200. Its totient is φ = 329951232.
The previous prime is 1321132313. The next prime is 1321132321. The reversal of 1321132320 is 232311231.
1321132320 is a `hidden beast` number, since 1 + 321 + 1 + 323 + 20 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
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 = 1321132293 and 1321132302.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1321132321) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2982019 + ... + 2982461.
It is an arithmetic number, because the mean of its divisors is an integer number (16666650).
Almost surely, 21321132320 is an apocalyptic number.
1321132320 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 1321132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399997600).
1321132320 is an abundant number, since it is smaller than the sum of its proper divisors (3478862880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1321132320 is a wasteful number, since it uses less digits than its factorization.
1321132320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 592 (or 581 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 1321132320 is about 36347.3839498801. The cubic root of 1321132320 is about 1097.2748852925.
Adding to 1321132320 its reverse (232311231), we get a palindrome (1553443551).
The spelling of 1321132320 in words is "one billion, three hundred twenty-one million, one hundred thirty-two thousand, three hundred twenty".
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