Base | Representation |
---|---|
bin | 10010101010101000… |
… | …01110011110010000 |
3 | 221212101211210101102 |
4 | 21111110032132100 |
5 | 131010423100422 |
6 | 4334223123532 |
7 | 503223434255 |
oct | 112524163620 |
9 | 27771753342 |
10 | 10021300112 |
11 | 428284310a |
12 | 1b381435a8 |
13 | c392375a5 |
14 | 6b0d0942c |
15 | 3d9bb9192 |
hex | 25550e790 |
10021300112 has 80 divisors (see below), whose sum is σ = 20883484800. Its totient is φ = 4644541440.
The previous prime is 10021300111. The next prime is 10021300127. The reversal of 10021300112 is 21100312001.
It is a junction number, because it is equal to n+sod(n) for n = 10021300093 and 10021300102.
It is not an unprimeable number, because it can be changed into a prime (10021300111) 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, 2955314 + ... + 2958702.
It is an arithmetic number, because the mean of its divisors is an integer number (261043560).
Almost surely, 210021300112 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 10021300112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10441742400).
10021300112 is an abundant number, since it is smaller than the sum of its proper divisors (10862184688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10021300112 is a wasteful number, since it uses less digits than its factorization.
10021300112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3624 (or 3618 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 11.
Adding to 10021300112 its reverse (21100312001), we get a palindrome (31121612113).
The spelling of 10021300112 in words is "ten billion, twenty-one million, three hundred thousand, one hundred twelve".
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