Base | Representation |
---|---|
bin | 11110100100000011101… |
… | …001001000100001011000 |
3 | 21102210020112012222110211 |
4 | 132210003221020201120 |
5 | 233402403312402300 |
6 | 4244510424420504 |
7 | 304512252322300 |
oct | 36440351104130 |
9 | 7383215188424 |
10 | 2100300122200 |
11 | 73a806734165 |
12 | 29b076317734 |
13 | 1230992b53c7 |
14 | 73925716600 |
15 | 3997874c4ba |
hex | 1e903a48858 |
2100300122200 has 144 divisors (see below), whose sum is σ = 5681236065120. Its totient is φ = 720003836160.
The previous prime is 2100300122197. The next prime is 2100300122201. The reversal of 2100300122200 is 22210030012.
It is a super-2 number, since 2×21003001222002 (a number of 25 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2100300122201) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 127460362 + ... + 127476838.
It is an arithmetic number, because the mean of its divisors is an integer number (39453028230).
Almost surely, 22100300122200 is an apocalyptic number.
2100300122200 is a gapful number since it is divisible by the number (20) 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 2100300122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2840618032560).
2100300122200 is an abundant number, since it is smaller than the sum of its proper divisors (3580935942920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2100300122200 is a wasteful number, since it uses less digits than its factorization.
2100300122200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 29514 (or 29498 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 13.
Adding to 2100300122200 its reverse (22210030012), we get a palindrome (2122510152212).
The spelling of 2100300122200 in words is "two trillion, one hundred billion, three hundred million, one hundred twenty-two thousand, two hundred".
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