Base | Representation |
---|---|
bin | 1101010111011… |
… | …11100010100000 |
3 | 21210222210201200 |
4 | 12223233202200 |
5 | 212201131313 |
6 | 15043201200 |
7 | 2531043141 |
oct | 653574240 |
9 | 253883650 |
10 | 112130208 |
11 | 583270a3 |
12 | 31676200 |
13 | 1a2ccb48 |
14 | 10c6bac8 |
15 | 9c9db73 |
hex | 6aef8a0 |
112130208 has 72 divisors (see below), whose sum is σ = 324324000. Its totient is φ = 36737664.
The previous prime is 112130201. The next prime is 112130231. The reversal of 112130208 is 802031211.
It is a tau number, because it is divible by the number of its divisors (72).
It is a super-2 number, since 2×1121302082 = 25146367092246528, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (112130201) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13693 + ... + 20291.
It is an arithmetic number, because the mean of its divisors is an integer number (4504500).
Almost surely, 2112130208 is an apocalyptic number.
112130208 is a gapful number since it is divisible by the number (18) 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 112130208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162162000).
112130208 is an abundant number, since it is smaller than the sum of its proper divisors (212193792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
112130208 is a wasteful number, since it uses less digits than its factorization.
112130208 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6674 (or 6663 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 18.
The square root of 112130208 is about 10589.1552070975. The cubic root of 112130208 is about 482.2151779956.
Adding to 112130208 its reverse (802031211), we get a palindrome (914161419).
It can be divided in two parts, 1121 and 30208, that added together give a square (31329 = 1772).
The spelling of 112130208 in words is "one hundred twelve million, one hundred thirty thousand, two hundred eight".
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