Base | Representation |
---|---|
bin | 11001011010000… |
… | …00010011100100 |
3 | 112212000211121111 |
4 | 30231000103210 |
5 | 414024434244 |
6 | 33051554404 |
7 | 5165345500 |
oct | 1455002344 |
9 | 485024544 |
10 | 213124324 |
11 | aa337506 |
12 | 5b45ba04 |
13 | 35200c8a |
14 | 2043b300 |
15 | 13a9ce34 |
hex | cb404e4 |
213124324 has 36 divisors (see below), whose sum is σ = 437082156. Its totient is φ = 90660864.
The previous prime is 213124319. The next prime is 213124333. The reversal of 213124324 is 423421312.
It can be written as a sum of positive squares in 2 ways, for example, as 181764324 + 31360000 = 13482^2 + 5600^2 .
It is a junction number, because it is equal to n+sod(n) for n = 213124295 and 213124304.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22884 + ... + 30820.
It is an arithmetic number, because the mean of its divisors is an integer number (12141171).
Almost surely, 2213124324 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 213124324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218541078).
213124324 is an abundant number, since it is smaller than the sum of its proper divisors (223957832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213124324 is a wasteful number, since it uses less digits than its factorization.
213124324 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8092 (or 8083 counting only the distinct ones).
The product of its digits is 1152, while the sum is 22.
The square root of 213124324 is about 14598.7781680523. The cubic root of 213124324 is about 597.3254325669.
Adding to 213124324 its reverse (423421312), we get a palindrome (636545636).
The spelling of 213124324 in words is "two hundred thirteen million, one hundred twenty-four thousand, three hundred twenty-four".
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