| Base | Representation |
|---|---|
| bin | 1100011001111011110… |
| … | …0010101001110010000 |
| 3 | 202101002200220102010020 |
| 4 | 3012132330111032100 |
| 5 | 11442432210410300 |
| 6 | 241523405303440 |
| 7 | 21253212136233 |
| oct | 3063674251620 |
| 9 | 671080812106 |
| 10 | 213120013200 |
| 11 | 82424767316 |
| 12 | 35379564b80 |
| 13 | 17135520ab3 |
| 14 | a45a76b41a |
| 15 | 58251d08a0 |
| hex | 319ef15390 |
213120013200 has 240 divisors, whose sum is σ = 720784134720. Its totient is φ = 53679144960.
The previous prime is 213120013187. The next prime is 213120013231. The reversal of 213120013200 is 2310021312.
213120013200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 213120013200.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7669732 + ... + 7697468.
It is an arithmetic number, because the mean of its divisors is an integer number (3003267228).
Almost surely, 2213120013200 is an apocalyptic number.
213120013200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 213120013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360392067360).
213120013200 is an abundant number, since it is smaller than the sum of its proper divisors (507664121520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213120013200 is a wasteful number, since it uses less digits than its factorization.
213120013200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 28114 (or 28103 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 15.
Adding to 213120013200 its reverse (2310021312), we get a palindrome (215430034512).
The spelling of 213120013200 in words is "two hundred thirteen billion, one hundred twenty million, thirteen thousand, two hundred".
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