| Base | Representation |
|---|---|
| bin | 1101010001011… |
| … | …00001011010000 |
| 3 | 21202111011001100 |
| 4 | 12220230023100 |
| 5 | 212000030000 |
| 6 | 15014104400 |
| 7 | 2521201155 |
| oct | 650541320 |
| 9 | 252434040 |
| 10 | 111330000 |
| 11 | 5792a971 |
| 12 | 3134b100 |
| 13 | 1a0ac852 |
| 14 | 10b0022c |
| 15 | 9b91a00 |
| hex | 6a2c2d0 |
111330000 has 150 divisors (see below), whose sum is σ = 389651834. Its totient is φ = 29664000.
The previous prime is 111329993. The next prime is 111330013. The reversal of 111330000 is 33111.
It can be written as a sum of positive squares in 5 ways, for example, as 29680704 + 81649296 = 5448^2 + 9036^2 .
It is a tau number, because it is divible by the number of its divisors (150).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a zygodrome in base 10.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 89382 + ... + 90618.
Almost surely, 2111330000 is an apocalyptic number.
111330000 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 111330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194825917).
111330000 is an abundant number, since it is smaller than the sum of its proper divisors (278321834).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
111330000 is a wasteful number, since it uses less digits than its factorization.
111330000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1271 (or 1247 counting only the distinct ones).
The product of its (nonzero) digits is 9, while the sum is 9.
The square root of 111330000 is about 10551.3032370414. The cubic root of 111330000 is about 481.0653420970.
Adding to 111330000 its reverse (33111), we get a palindrome (111363111).
It can be divided in two parts, 1113 and 30000, that added together give a palindrome (31113).
The spelling of 111330000 in words is "one hundred eleven million, three hundred thirty thousand".
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