Base | Representation |
---|---|
bin | 10110100010011101… |
… | …11110110101010000 |
3 | 1011020021211221020102 |
4 | 23101032332311100 |
5 | 144240134100422 |
6 | 5320411231532 |
7 | 605566565615 |
oct | 132116766520 |
9 | 34207757212 |
10 | 12100300112 |
11 | 514a33862a |
12 | 24184485a8 |
13 | 11aab81ac4 |
14 | 82b08a50c |
15 | 4ac484192 |
hex | 2d13bed50 |
12100300112 has 40 divisors (see below), whose sum is σ = 24313611240. Its totient is φ = 5826867200.
The previous prime is 12100300073. The next prime is 12100300127. The reversal of 12100300112 is 21100300121.
It can be written as a sum of positive squares in 4 ways, for example, as 8726549056 + 3373751056 = 93416^2 + 58084^2 .
It is a junction number, because it is equal to n+sod(n) for n = 12100300093 and 12100300102.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153548 + ... + 218580.
It is an arithmetic number, because the mean of its divisors is an integer number (607840281).
Almost surely, 212100300112 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 12100300112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12156805620).
12100300112 is an abundant number, since it is smaller than the sum of its proper divisors (12213311128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12100300112 is a wasteful number, since it uses less digits than its factorization.
12100300112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 65471 (or 65465 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 11.
Adding to 12100300112 its reverse (21100300121), we get a palindrome (33200600233).
Subtracting 12100300112 from its reverse (21100300121), we obtain a palindrome (9000000009).
The spelling of 12100300112 in words is "twelve billion, one hundred million, three hundred thousand, one hundred twelve".
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