Base | Representation |
---|---|
bin | 1101000111001… |
… | …11011111110000 |
3 | 21122222120210020 |
4 | 12203213133300 |
5 | 211130000422 |
6 | 14525403440 |
7 | 2503662015 |
oct | 643473760 |
9 | 248876706 |
10 | 110000112 |
11 | 57101792 |
12 | 30a09580 |
13 | 19a35431 |
14 | 1087570c |
15 | 99cc95c |
hex | 68e77f0 |
110000112 has 80 divisors (see below), whose sum is σ = 294198432. Its totient is φ = 35389440.
The previous prime is 110000083. The next prime is 110000117. The reversal of 110000112 is 211000011.
It is a Harshad number since it is a multiple of its sum of digits (6).
It is a self number, because there is not a number n which added to its sum of digits gives 110000112.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (110000117) 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, 427888 + ... + 428144.
Almost surely, 2110000112 is an apocalyptic number.
110000112 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 110000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147099216).
110000112 is an abundant number, since it is smaller than the sum of its proper divisors (184198320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
110000112 is a wasteful number, since it uses less digits than its factorization.
110000112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 546 (or 540 counting only the distinct ones).
The product of its (nonzero) digits is 2, while the sum is 6.
The square root of 110000112 is about 10488.0938210907. The cubic root of 110000112 is about 479.1421483241.
Adding to 110000112 its reverse (211000011), we get a palindrome (321000123).
It can be divided in two parts, 11000011 and 2, that multiplied together give a palindrome (22000022).
The spelling of 110000112 in words is "one hundred ten million, one hundred twelve", and thus it is an aban number.
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