Base | Representation |
---|---|
bin | 1100010010100001100… |
… | …1101100010011101000 |
3 | 202011222002122022102011 |
4 | 3010220121230103220 |
5 | 11424344043034344 |
6 | 240554202445304 |
7 | 21153012525010 |
oct | 3045031542350 |
9 | 664862568364 |
10 | 211131221224 |
11 | 815a4085490 |
12 | 34b03503834 |
13 | 16ba949c101 |
14 | a30c58cc40 |
15 | 575a7d3d34 |
hex | 312866c4e8 |
211131221224 has 128 divisors (see below), whose sum is σ = 497033625600. Its totient is φ = 81680544000.
The previous prime is 211131221207. The next prime is 211131221227. The reversal of 211131221224 is 422122131112.
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a junction number, because it is equal to n+sod(n) for n = 211131221195 and 211131221204.
It is not an unprimeable number, because it can be changed into a prime (211131221227) 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, 83416839 + ... + 83419369.
It is an arithmetic number, because the mean of its divisors is an integer number (3883075200).
Almost surely, 2211131221224 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 211131221224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248516812800).
211131221224 is an abundant number, since it is smaller than the sum of its proper divisors (285902404376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211131221224 is a wasteful number, since it uses less digits than its factorization.
211131221224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3455 (or 3451 counting only the distinct ones).
The product of its digits is 384, while the sum is 22.
Adding to 211131221224 its reverse (422122131112), we get a palindrome (633253352336).
The spelling of 211131221224 in words is "two hundred eleven billion, one hundred thirty-one million, two hundred twenty-one thousand, two hundred twenty-four".
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