Base | Representation |
---|---|
bin | 1101011000110… |
… | …00111111110100 |
3 | 21211022102200000 |
4 | 12230120333310 |
5 | 212222100040 |
6 | 15050551300 |
7 | 2532351210 |
oct | 654307764 |
9 | 254272600 |
10 | 112300020 |
11 | 58432738 |
12 | 31738530 |
13 | 1a35c221 |
14 | 10cb3940 |
15 | 9cd4130 |
hex | 6b18ff4 |
112300020 has 144 divisors (see below), whose sum is σ = 403847808. Its totient is φ = 25660800.
The previous prime is 112300003. The next prime is 112300039. The reversal of 112300020 is 20003211.
It is a happy number.
It is a super-2 number, since 2×1123000202 = 25222588984000800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 112299975 and 112300011.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32370 + ... + 35670.
Almost surely, 2112300020 is an apocalyptic number.
112300020 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 112300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201923904).
112300020 is an abundant number, since it is smaller than the sum of its proper divisors (291547788).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
112300020 is a wasteful number, since it uses less digits than its factorization.
112300020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3332 (or 3318 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
The square root of 112300020 is about 10597.1703770393. The cubic root of 112300020 is about 482.4584803239.
Adding to 112300020 its reverse (20003211), we get a palindrome (132303231).
The spelling of 112300020 in words is "one hundred twelve million, three hundred thousand, twenty".
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