Base | Representation |
---|---|
bin | 100011011111001001000001… |
… | …0010110010110111010110100 |
3 | 1111221012121020101201211000100 |
4 | 1012332102002112112322310 |
5 | 311403123313401300340 |
6 | 3023512341552314100 |
7 | 122514414141340335 |
oct | 10676220226267264 |
9 | 1457177211654010 |
10 | 312143230103220 |
11 | 9050522292185a |
12 | 2b013548242930 |
13 | 10522c98935169 |
14 | 5711b54a2628c |
15 | 2614865d48830 |
hex | 11be482596eb4 |
312143230103220 has 432 divisors, whose sum is σ = 1014986387823408. Its totient is φ = 77627224227840.
The previous prime is 312143230103209. The next prime is 312143230103227. The reversal of 312143230103220 is 22301032341213.
312143230103220 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 4 + 32 + 301 + 0 + 322 + 0 = 666.
It can be written as a sum of positive squares in 24 ways, for example, as 290806923575844 + 21336306527376 = 17053062^2 + 4619124^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (312143230103227) by changing a digit.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41859085732 + ... + 41859093188.
It is an arithmetic number, because the mean of its divisors is an integer number (2349505527369).
Almost surely, 2312143230103220 is an apocalyptic number.
312143230103220 is a gapful number since it is divisible by the number (30) 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 312143230103220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507493193911704).
312143230103220 is an abundant number, since it is smaller than the sum of its proper divisors (702843157720188).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
312143230103220 is a wasteful number, since it uses less digits than its factorization.
312143230103220 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 14740 (or 14718 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 27.
Adding to 312143230103220 its reverse (22301032341213), we get a palindrome (334444262444433).
The spelling of 312143230103220 in words is "three hundred twelve trillion, one hundred forty-three billion, two hundred thirty million, one hundred three thousand, two hundred twenty".
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