Base | Representation |
---|---|
bin | 11001011001001… |
… | …01001011111010 |
3 | 112211211012020100 |
4 | 30230211023322 |
5 | 414012410432 |
6 | 33045340230 |
7 | 5164403601 |
oct | 1454451372 |
9 | 484735210 |
10 | 213013242 |
11 | aa271002 |
12 | 5b407676 |
13 | 35192550 |
14 | 2040ca38 |
15 | 13a7a07c |
hex | cb252fa |
213013242 has 48 divisors (see below), whose sum is σ = 502007688. Its totient is φ = 64886400.
The previous prime is 213013219. The next prime is 213013243. The reversal of 213013242 is 242310312.
It can be written as a sum of positive squares in 4 ways, for example, as 192682161 + 20331081 = 13881^2 + 4509^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (213013243) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19128 + ... + 28140.
Almost surely, 2213013242 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 213013242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251003844).
213013242 is an abundant number, since it is smaller than the sum of its proper divisors (288994446).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213013242 is a wasteful number, since it uses less digits than its factorization.
213013242 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9135 (or 9132 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 213013242 is about 14594.9731757205. The cubic root of 213013242 is about 597.2216376965.
Adding to 213013242 its reverse (242310312), we get a palindrome (455323554).
The spelling of 213013242 in words is "two hundred thirteen million, thirteen thousand, two hundred forty-two".
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