| Base | Representation |
|---|---|
| bin | 1100011001100001100… |
| … | …1111001011010011100 |
| 3 | 202100211001111120120221 |
| 4 | 3012120121321122130 |
| 5 | 11442221120314400 |
| 6 | 241504450251124 |
| 7 | 21250410605101 |
| oct | 3063031713234 |
| 9 | 670731446527 |
| 10 | 213010323100 |
| 11 | 82378857543 |
| 12 | 35348886aa4 |
| 13 | 17118896803 |
| 14 | a449d76aa8 |
| 15 | 581a764c1a |
| hex | 319867969c |
213010323100 has 144 divisors (see below), whose sum is σ = 477233830080. Its totient is φ = 82487808000.
The previous prime is 213010323059. The next prime is 213010323101. The reversal of 213010323100 is 1323010312.
213010323100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2130103231002 (a number of 23 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (213010323101) 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, 231784441 + ... + 231785359.
It is an arithmetic number, because the mean of its divisors is an integer number (3314123820).
Almost surely, 2213010323100 is an apocalyptic number.
213010323100 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 213010323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238616915040).
213010323100 is an abundant number, since it is smaller than the sum of its proper divisors (264223506980).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213010323100 is a wasteful number, since it uses less digits than its factorization.
213010323100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1520 (or 1513 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 16.
Adding to 213010323100 its reverse (1323010312), we get a palindrome (214333333412).
The spelling of 213010323100 in words is "two hundred thirteen billion, ten million, three hundred twenty-three thousand, one hundred".
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