Base | Representation |
---|---|
bin | 1100010110010000000… |
… | …0011000101011111100 |
3 | 202021112210022112011000 |
4 | 3011210000120223330 |
5 | 11433421043021340 |
6 | 241241324130300 |
7 | 21216544422663 |
oct | 3054400305374 |
9 | 667483275130 |
10 | 212131220220 |
11 | 81a675a8537 |
12 | 35142396990 |
13 | 170087089aa |
14 | a3a52d9dda |
15 | 57b84b4d30 |
hex | 3164018afc |
212131220220 has 96 divisors (see below), whose sum is σ = 662046235200. Its totient is φ = 56389830912.
The previous prime is 212131220219. The next prime is 212131220221. The reversal of 212131220220 is 22022131212.
212131220220 is a `hidden beast` number, since 212 + 13 + 1 + 220 + 220 = 666.
212131220220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (212131220219) and next prime (212131220221).
It is a super-2 number, since 2×2121312202202 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 212131220193 and 212131220202.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (212131220221) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 448435 + ... + 790794.
It is an arithmetic number, because the mean of its divisors is an integer number (6896314950).
Almost surely, 2212131220220 is an apocalyptic number.
212131220220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
212131220220 is an abundant number, since it is smaller than the sum of its proper divisors (449915014980).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212131220220 is a wasteful number, since it uses less digits than its factorization.
212131220220 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1239564 (or 1239556 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 212131220220 its reverse (22022131212), we get a palindrome (234153351432).
The spelling of 212131220220 in words is "two hundred twelve billion, one hundred thirty-one million, two hundred twenty thousand, two hundred twenty".
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