| Base | Representation |
|---|---|
| bin | 1011110101111111001110… |
| … | …0100100011101000100000 |
| 3 | 1201002220101210100220202200 |
| 4 | 2331133303210203220200 |
| 5 | 3201323311333231200 |
| 6 | 43410141321013200 |
| 7 | 2512550402255121 |
| oct | 275376344435040 |
| 9 | 51086353326680 |
| 10 | 13022132320800 |
| 11 | 4170723232a09 |
| 12 | 1563939924200 |
| 13 | 735c9c059325 |
| 14 | 3303bb5ac048 |
| 15 | 178b07701800 |
| hex | bd7f3923a20 |
13022132320800 has 216 divisors, whose sum is σ = 45937164677040. Its totient is φ = 3471217190400.
The previous prime is 13022132320763. The next prime is 13022132320801. The reversal of 13022132320800 is 802323122031.
It is a happy number.
13022132320800 is a `hidden beast` number, since 1 + 302 + 2 + 1 + 32 + 320 + 8 + 0 + 0 = 666.
It is a super-2 number, since 2×130221323208002 (a number of 27 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (13022132320801) 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 35 ways as a sum of consecutive naturals, for example, 18218155 + ... + 18919445.
It is an arithmetic number, because the mean of its divisors is an integer number (212672058690).
Almost surely, 213022132320800 is an apocalyptic number.
13022132320800 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 13022132320800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22968582338520).
13022132320800 is an abundant number, since it is smaller than the sum of its proper divisors (32915032356240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13022132320800 is a wasteful number, since it uses less digits than its factorization.
13022132320800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 703896 (or 703880 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 27.
Adding to 13022132320800 its reverse (802323122031), we get a palindrome (13824455442831).
The spelling of 13022132320800 in words is "thirteen trillion, twenty-two billion, one hundred thirty-two million, three hundred twenty thousand, eight hundred".
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