| Base | Representation |
|---|---|
| bin | 1100011010001111001… |
| … | …0100101011100101100 |
| 3 | 202101022100221110102012 |
| 4 | 3012203302211130230 |
| 5 | 11443114021004200 |
| 6 | 241535432420352 |
| 7 | 21255220345160 |
| oct | 3064362453454 |
| 9 | 671270843365 |
| 10 | 213201344300 |
| 11 | 824666675aa |
| 12 | 353a08476b8 |
| 13 | 17149328cc9 |
| 14 | a46749cca0 |
| 15 | 582c3e8a35 |
| hex | 31a3ca572c |
213201344300 has 72 divisors (see below), whose sum is σ = 529380117504. Its totient is φ = 73009016640.
The previous prime is 213201344281. The next prime is 213201344309. The reversal of 213201344300 is 3443102312.
213201344300 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2132013443002 (a number of 23 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (213201344309) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 394757 + ... + 763043.
It is an arithmetic number, because the mean of its divisors is an integer number (7352501632).
Almost surely, 2213201344300 is an apocalyptic number.
213201344300 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 213201344300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264690058752).
213201344300 is an abundant number, since it is smaller than the sum of its proper divisors (316178773204).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213201344300 is a wasteful number, since it uses less digits than its factorization.
213201344300 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 369135 (or 369128 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 23.
Adding to 213201344300 its reverse (3443102312), we get a palindrome (216644446612).
The spelling of 213201344300 in words is "two hundred thirteen billion, two hundred one million, three hundred forty-four thousand, three hundred".
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