Base | Representation |
---|---|
bin | 1100100001010… |
… | …10000111100000 |
3 | 21022122002020011 |
4 | 12100222013200 |
5 | 203341430422 |
6 | 14231054304 |
7 | 2413512145 |
oct | 620520740 |
9 | 238562204 |
10 | 105030112 |
11 | 54317750 |
12 | 2b211394 |
13 | 189b51c5 |
14 | dd403cc |
15 | 934a077 |
hex | 642a1e0 |
105030112 has 48 divisors (see below), whose sum is σ = 233377200. Its totient is φ = 46090240.
The previous prime is 105030067. The next prime is 105030113. The reversal of 105030112 is 211030501.
It is a super-2 number, since 2×1050301122 = 22062648853465088, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 105030092 and 105030101.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (105030113) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5064 + ... + 15352.
It is an arithmetic number, because the mean of its divisors is an integer number (4862025).
Almost surely, 2105030112 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 105030112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116688600).
105030112 is an abundant number, since it is smaller than the sum of its proper divisors (128347088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105030112 is a wasteful number, since it uses less digits than its factorization.
105030112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10339 (or 10331 counting only the distinct ones).
The product of its (nonzero) digits is 30, while the sum is 13.
The square root of 105030112 is about 10248.4199757816. The cubic root of 105030112 is about 471.8144918803.
Adding to 105030112 its reverse (211030501), we get a palindrome (316060613).
The spelling of 105030112 in words is "one hundred five million, thirty thousand, one hundred twelve".
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