| Base | Representation |
|---|---|
| bin | 10000000000110000111… |
| … | …101010101100010000000 |
| 3 | 10220012011002200120212000 |
| 4 | 100000300331111202000 |
| 5 | 121011440222404440 |
| 6 | 2201252551104000 |
| 7 | 142332164202165 |
| oct | 20006075254200 |
| 9 | 3805132616760 |
| 10 | 1100333013120 |
| 11 | 394715333750 |
| 12 | 159303372000 |
| 13 | 7c9b7a94663 |
| 14 | 3b3837d206c |
| 15 | 1d94ed31730 |
| hex | 10030f55880 |
1100333013120 has 1024 divisors, whose sum is σ = 4606626816000. Its totient is φ = 245186887680.
The previous prime is 1100333013089. The next prime is 1100333013151. The reversal of 1100333013120 is 213103330011.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (1100333013089) and next prime (1100333013151).
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 = 1100333013093 and 1100333013102.
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 127 ways as a sum of consecutive naturals, for example, 138944521 + ... + 138952439.
It is an arithmetic number, because the mean of its divisors is an integer number (4498659000).
Almost surely, 21100333013120 is an apocalyptic number.
1100333013120 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 1100333013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303313408000).
1100333013120 is an abundant number, since it is smaller than the sum of its proper divisors (3506293802880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1100333013120 is a wasteful number, since it uses less digits than its factorization.
1100333013120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8018 (or 8000 counting only the distinct ones).
The product of its (nonzero) digits is 162, while the sum is 18.
Adding to 1100333013120 its reverse (213103330011), we get a palindrome (1313436343131).
The spelling of 1100333013120 in words is "one trillion, one hundred billion, three hundred thirty-three million, thirteen thousand, one hundred twenty".
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