Base | Representation |
---|---|
bin | 1101001000001… |
… | …01010010000000 |
3 | 21200012210010202 |
4 | 12210011102000 |
5 | 211142401422 |
6 | 14532144332 |
7 | 2505010502 |
oct | 644052200 |
9 | 250183122 |
10 | 110122112 |
11 | 57185411 |
12 | 30a680a8 |
13 | 19a78b19 |
14 | 108a7d72 |
15 | 9a03b92 |
hex | 6905480 |
110122112 has 32 divisors (see below), whose sum is σ = 220696380. Its totient is φ = 54731776.
The previous prime is 110122093. The next prime is 110122121. The reversal of 110122112 is 211221011.
It can be written as a sum of positive squares in 2 ways, for example, as 99520576 + 10601536 = 9976^2 + 3256^2 .
It is a tau number, because it is divible by the number of its divisors (32).
It is a junction number, because it is equal to n+sod(n) for n = 110122093 and 110122102.
It is an unprimeable number.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19658 + ... + 24630.
Almost surely, 2110122112 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 110122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110348190).
110122112 is an abundant number, since it is smaller than the sum of its proper divisors (110574268).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
110122112 is an equidigital number, since it uses as much as digits as its factorization.
110122112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5160 (or 5148 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 11.
The square root of 110122112 is about 10493.9083281683. The cubic root of 110122112 is about 479.3192200973.
Adding to 110122112 its reverse (211221011), we get a palindrome (321343123).
The spelling of 110122112 in words is "one hundred ten million, one hundred twenty-two thousand, one hundred twelve".
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