| Base | Representation |
|---|---|
| bin | 1100011010001111010… |
| … | …1111001100101010000 |
| 3 | 202101022102120121022200 |
| 4 | 3012203311321211100 |
| 5 | 11443114231310300 |
| 6 | 241535503203200 |
| 7 | 21255230624334 |
| oct | 3064365714520 |
| 9 | 671272517280 |
| 10 | 213202213200 |
| 11 | 824671003a9 |
| 12 | 353a0ba6500 |
| 13 | 17149571652 |
| 14 | a4676477c4 |
| 15 | 582c51b200 |
| hex | 31a3d79950 |
213202213200 has 360 divisors, whose sum is σ = 749659155648. Its totient is φ = 56105809920.
The previous prime is 213202213177. The next prime is 213202213201. The reversal of 213202213200 is 2312202312.
213202213200 is a `hidden beast` number, since 2 + 1 + 320 + 2 + 21 + 320 + 0 = 666.
213202213200 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 (360).
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 (213202213201) 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 71 ways as a sum of consecutive naturals, for example, 128666772 + ... + 128668428.
Almost surely, 2213202213200 is an apocalyptic number.
213202213200 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 213202213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374829577824).
213202213200 is an abundant number, since it is smaller than the sum of its proper divisors (536456942448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213202213200 is a wasteful number, since it uses less digits than its factorization.
213202213200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2131 (or 2117 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 213202213200 its reverse (2312202312), we get a palindrome (215514415512).
The spelling of 213202213200 in words is "two hundred thirteen billion, two hundred two million, two hundred thirteen thousand, two hundred".
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