| Base | Representation |
|---|---|
| bin | 1100011010100110101… |
| … | …1011001011010100100 |
| 3 | 202101120020210221201200 |
| 4 | 3012221223121122210 |
| 5 | 11443314312421200 |
| 6 | 241553321522500 |
| 7 | 21260530063455 |
| oct | 3065153313244 |
| 9 | 671506727650 |
| 10 | 213300123300 |
| 11 | 825073a4740 |
| 12 | 35409943430 |
| 13 | 17163932b14 |
| 14 | a47665312c |
| 15 | 5835e0b800 |
| hex | 31a9ad96a4 |
213300123300 has 216 divisors, whose sum is σ = 729821225952. Its totient is φ = 51676224000.
The previous prime is 213300123299. The next prime is 213300123347. The reversal of 213300123300 is 3321003312.
213300123300 is a `hidden beast` number, since 2 + 1 + 330 + 0 + 1 + 2 + 330 + 0 = 666.
213300123300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
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 71 ways as a sum of consecutive naturals, for example, 17922952 + ... + 17934848.
It is an arithmetic number, because the mean of its divisors is an integer number (3378801972).
Almost surely, 2213300123300 is an apocalyptic number.
213300123300 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 213300123300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364910612976).
213300123300 is an abundant number, since it is smaller than the sum of its proper divisors (516521102652).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213300123300 is a wasteful number, since it uses less digits than its factorization.
213300123300 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13739 (or 13729 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
Adding to 213300123300 its reverse (3321003312), we get a palindrome (216621126612).
It can be divided in two parts, 21330012 and 3300, that added together give a palindrome (21333312).
The spelling of 213300123300 in words is "two hundred thirteen billion, three hundred million, one hundred twenty-three thousand, three hundred".
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