| Base | Representation |
|---|---|
| bin | 1100011010100110101… |
| … | …1101111010110000000 |
| 3 | 202101120020222111221100 |
| 4 | 3012221223233112000 |
| 5 | 11443314323304440 |
| 6 | 241553323454400 |
| 7 | 21260530616361 |
| oct | 3065153572600 |
| 9 | 671506874840 |
| 10 | 213300213120 |
| 11 | 82507456175 |
| 12 | 35409987400 |
| 13 | 17163964977 |
| 14 | a476677b68 |
| 15 | 5835e28230 |
| hex | 31a9aef580 |
213300213120 has 384 divisors, whose sum is σ = 782353896480. Its totient is φ = 53364326400.
The previous prime is 213300213109. The next prime is 213300213121. The reversal of 213300213120 is 21312003312.
213300213120 is a `hidden beast` number, since 2 + 1 + 330 + 0 + 21 + 312 + 0 = 666.
213300213120 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 (384).
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 = 213300213093 and 213300213102.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (213300213121) 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 47 ways as a sum of consecutive naturals, for example, 32408230 + ... + 32414810.
Almost surely, 2213300213120 is an apocalyptic number.
213300213120 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 213300213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391176948240).
213300213120 is an abundant number, since it is smaller than the sum of its proper divisors (569053683360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213300213120 is a wasteful number, since it uses less digits than its factorization.
213300213120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6954 (or 6939 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 213300213120 its reverse (21312003312), we get a palindrome (234612216432).
The spelling of 213300213120 in words is "two hundred thirteen billion, three hundred million, two hundred thirteen thousand, one hundred twenty".
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