Base | Representation |
---|---|
bin | 1001101100001111100110… |
… | …01010101100001001101110 |
3 | 2210110100110222022000200200 |
4 | 10312013303022230021232 |
5 | 10243131233034434410 |
6 | 113154154441334330 |
7 | 4326461444463351 |
oct | 466076312541156 |
9 | 83410428260620 |
10 | 21311412421230 |
11 | 68771347a7208 |
12 | 2482364a973a6 |
13 | bb78718a5a39 |
14 | 539699392298 |
15 | 26e55ab643c0 |
hex | 1361f32ac26e |
21311412421230 has 96 divisors (see below), whose sum is σ = 55848018811104. Its totient is φ = 5638195600128.
The previous prime is 21311412421207. The next prime is 21311412421231. The reversal of 21311412421230 is 3212421411312.
21311412421230 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 1 + 4 + 1 + 2 + 421 + 230 = 666.
It is a junction number, because it is equal to n+sod(n) for n = 21311412421194 and 21311412421203.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (21311412421231) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8072037 + ... + 10381743.
It is an arithmetic number, because the mean of its divisors is an integer number (581750195949).
Almost surely, 221311412421230 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 21311412421230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27924009405552).
21311412421230 is an abundant number, since it is smaller than the sum of its proper divisors (34536606389874).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21311412421230 is a wasteful number, since it uses less digits than its factorization.
21311412421230 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2310530 (or 2310527 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 27.
Adding to 21311412421230 its reverse (3212421411312), we get a palindrome (24523833832542).
The spelling of 21311412421230 in words is "twenty-one trillion, three hundred eleven billion, four hundred twelve million, four hundred twenty-one thousand, two hundred thirty".
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