Base | Representation |
---|---|
bin | 101000010100… |
… | …1011101000000 |
3 | 1110210002102120 |
4 | 1100221131000 |
5 | 20403010222 |
6 | 2033044240 |
7 | 344461323 |
oct | 120513500 |
9 | 43702376 |
10 | 21141312 |
11 | 10a2a865 |
12 | 70b6680 |
13 | 44c2a6a |
14 | 2b447ba |
15 | 1cc915c |
hex | 1429740 |
21141312 has 56 divisors (see below), whose sum is σ = 56388000. Its totient is φ = 6990336.
The previous prime is 21141299. The next prime is 21141317. The reversal of 21141312 is 21314112.
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 21141291 and 21141300.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (21141317) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28239 + ... + 28977.
Almost surely, 221141312 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 21141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28194000).
21141312 is an abundant number, since it is smaller than the sum of its proper divisors (35246688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21141312 is a wasteful number, since it uses less digits than its factorization.
21141312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 903 (or 893 counting only the distinct ones).
The product of its digits is 48, while the sum is 15.
The square root of 21141312 is about 4597.9682469543. The cubic root of 21141312 is about 276.5098745475.
Adding to 21141312 its reverse (21314112), we get a palindrome (42455424).
The spelling of 21141312 in words is "twenty-one million, one hundred forty-one thousand, three hundred twelve".
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