| Base | Representation |
|---|---|
| bin | 1111110010010… |
| … | …1000100000100 |
| 3 | 11121120220221000 |
| 4 | 3330211010010 |
| 5 | 113422241400 |
| 6 | 10323053300 |
| 7 | 1432536123 |
| oct | 374450404 |
| 9 | 147526830 |
| 10 | 66212100 |
| 11 | 34414149 |
| 12 | 1a211230 |
| 13 | 10943676 |
| 14 | 8b17aba |
| 15 | 5c2d600 |
| hex | 3f25104 |
66212100 has 144 divisors (see below), whose sum is σ = 215611200. Its totient is φ = 17429760.
The previous prime is 66212087. The next prime is 66212119. The reversal of 66212100 is 121266.
It is a happy number.
66212100 is a `hidden beast` number, since 662 + 1 + 2 + 1 + 0 + 0 = 666.
66212100 is digitally balanced in base 9, 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).
66212100 is strictly pandigital in base 9.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369811 + ... + 369989.
It is an arithmetic number, because the mean of its divisors is an integer number (1497300).
Almost surely, 266212100 is an apocalyptic number.
66212100 is a gapful number since it is divisible by the number (60) 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 66212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107805600).
66212100 is an abundant number, since it is smaller than the sum of its proper divisors (149399100).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
66212100 is a wasteful number, since it uses less digits than its factorization.
66212100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 339 (or 326 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
The square root of 66212100 is about 8137.0817864883. The cubic root of 66212100 is about 404.5564416874.
Adding to 66212100 its reverse (121266), we get a palindrome (66333366).
The spelling of 66212100 in words is "sixty-six million, two hundred twelve thousand, one hundred".
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