Base | Representation |
---|---|
bin | 1101001001100… |
… | …11001110110000 |
3 | 21200120100022102 |
4 | 12210303032300 |
5 | 211214412240 |
6 | 14540155532 |
7 | 2506423301 |
oct | 644631660 |
9 | 250510272 |
10 | 110310320 |
11 | 572a385a |
12 | 30b38ba8 |
13 | 19b136a3 |
14 | 109167a8 |
15 | 9a3e815 |
hex | 69333b0 |
110310320 has 80 divisors (see below), whose sum is σ = 267170400. Its totient is φ = 42319872.
The previous prime is 110310313. The next prime is 110310337. The reversal of 110310320 is 23013011.
It is a tau number, because it is divible by the number of its divisors (80).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245456 + ... + 245904.
It is an arithmetic number, because the mean of its divisors is an integer number (3339630).
Almost surely, 2110310320 is an apocalyptic number.
110310320 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 110310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133585200).
110310320 is an abundant number, since it is smaller than the sum of its proper divisors (156860080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
110310320 is a wasteful number, since it uses less digits than its factorization.
110310320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 582 (or 576 counting only the distinct ones).
The product of its (nonzero) digits is 18, while the sum is 11.
The square root of 110310320 is about 10502.8719881754. The cubic root of 110310320 is about 479.5921303716.
Adding to 110310320 its reverse (23013011), we get a palindrome (133323331).
The spelling of 110310320 in words is "one hundred ten million, three hundred ten thousand, three hundred twenty".
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