Base | Representation |
---|---|
bin | 11001011011100… |
… | …10100110001000 |
3 | 112212102022011200 |
4 | 30231302212020 |
5 | 414103032222 |
6 | 33100224200 |
7 | 5200164156 |
oct | 1455624610 |
9 | 485368150 |
10 | 213330312 |
11 | aa468248 |
12 | 5b53b060 |
13 | 35273970 |
14 | 204923d6 |
15 | 13addeac |
hex | cb72988 |
213330312 has 96 divisors (see below), whose sum is σ = 632923200. Its totient is φ = 64510848.
The previous prime is 213330307. The next prime is 213330317. The reversal of 213330312 is 213033312.
213330312 is a `hidden beast` number, since 21 + 3 + 330 + 312 = 666.
It is an interprime number because it is at equal distance from previous prime (213330307) and next prime (213330317).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (213330317) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53293 + ... + 57155.
It is an arithmetic number, because the mean of its divisors is an integer number (6592950).
Almost surely, 2213330312 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 213330312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316461600).
213330312 is an abundant number, since it is smaller than the sum of its proper divisors (419592888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213330312 is a wasteful number, since it uses less digits than its factorization.
213330312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3947 (or 3940 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
The square root of 213330312 is about 14605.8314381620. The cubic root of 213330312 is about 597.5178120657.
Adding to 213330312 its reverse (213033312), we get a palindrome (426363624).
It can be divided in two parts, 21 and 3330312, that added together give a palindrome (3330333).
The spelling of 213330312 in words is "two hundred thirteen million, three hundred thirty thousand, three hundred twelve".
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