Base | Representation |
---|---|
bin | 11001011010000… |
… | …00001111000000 |
3 | 112212000211012200 |
4 | 30231000033000 |
5 | 414024432112 |
6 | 33051553200 |
7 | 5165344602 |
oct | 1455001700 |
9 | 485024180 |
10 | 213124032 |
11 | aa337270 |
12 | 5b45b800 |
13 | 35200ac4 |
14 | 2043b172 |
15 | 13a9ccdc |
hex | cb403c0 |
213124032 has 84 divisors (see below), whose sum is σ = 666436056. Its totient is φ = 64581120.
The previous prime is 213124013. The next prime is 213124081. The reversal of 213124032 is 230421312.
213124032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 213123996 and 213124014.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10483 + ... + 23154.
Almost surely, 2213124032 is an apocalyptic number.
213124032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
213124032 is an abundant number, since it is smaller than the sum of its proper divisors (453312024).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213124032 is a wasteful number, since it uses less digits than its factorization.
213124032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 33666 (or 33653 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 213124032 is about 14598.7681672119. The cubic root of 213124032 is about 597.3251597698.
Adding to 213124032 its reverse (230421312), we get a palindrome (443545344).
The spelling of 213124032 in words is "two hundred thirteen million, one hundred twenty-four thousand, thirty-two".
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