| Base | Representation |
|---|---|
| bin | 1101011111110… |
| … | …10011010010000 |
| 3 | 21220001100012000 |
| 4 | 12233322122100 |
| 5 | 212441121222 |
| 6 | 15122434000 |
| 7 | 2543245056 |
| oct | 657723220 |
| 9 | 256040160 |
| 10 | 113223312 |
| 11 | 58a03394 |
| 12 | 31b02900 |
| 13 | 1a5c3557 |
| 14 | 110741d6 |
| 15 | 9e179ac |
| hex | 6bfa690 |
113223312 has 80 divisors (see below), whose sum is σ = 327360000. Its totient is φ = 37466496.
The previous prime is 113223311. The next prime is 113223361. The reversal of 113223312 is 213322311.
113223312 is a `hidden beast` number, since 11 + 322 + 331 + 2 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is not an unprimeable number, because it can be changed into a prime (113223311) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63489 + ... + 65247.
It is an arithmetic number, because the mean of its divisors is an integer number (4092000).
Almost surely, 2113223312 is an apocalyptic number.
113223312 is a gapful number since it is divisible by the number (12) 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 113223312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163680000).
113223312 is an abundant number, since it is smaller than the sum of its proper divisors (214136688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
113223312 is a wasteful number, since it uses less digits than its factorization.
113223312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1925 (or 1913 counting only the distinct ones).
The product of its digits is 216, while the sum is 18.
The square root of 113223312 is about 10640.6443413921. The cubic root of 113223312 is about 483.7770755833. Note that the first 3 decimals are identical.
Adding to 113223312 its reverse (213322311), we get a palindrome (326545623).
The spelling of 113223312 in words is "one hundred thirteen million, two hundred twenty-three thousand, three hundred twelve".
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