| Base | Representation |
|---|---|
| bin | 1100010110010000000… |
| … | …0011001100111000000 |
| 3 | 202021112210022201100000 |
| 4 | 3011210000121213000 |
| 5 | 11433421043132000 |
| 6 | 241241324200000 |
| 7 | 21216544440003 |
| oct | 3054400314700 |
| 9 | 667483281300 |
| 10 | 212131224000 |
| 11 | 81a67600363 |
| 12 | 35142399000 |
| 13 | 1700870a627 |
| 14 | a3a52db53a |
| 15 | 57b84b6000 |
| hex | 31640199c0 |
212131224000 has 336 divisors, whose sum is σ = 786940723296. Its totient is φ = 56567808000.
The previous prime is 212131223971. The next prime is 212131224029. The reversal of 212131224000 is 422131212.
It is a happy number.
212131224000 is a `hidden beast` number, since 212 + 1 + 31 + 22 + 400 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (212131223971) and next prime (212131224029).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1889440 + ... + 1998560.
It is an arithmetic number, because the mean of its divisors is an integer number (2342085486).
Almost surely, 2212131224000 is an apocalyptic number.
212131224000 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 212131224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393470361648).
212131224000 is an abundant number, since it is smaller than the sum of its proper divisors (574809499296).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212131224000 is an equidigital number, since it uses as much as digits as its factorization.
212131224000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 109163 (or 109131 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 212131224000 its reverse (422131212), we get a palindrome (212553355212).
The spelling of 212131224000 in words is "two hundred twelve billion, one hundred thirty-one million, two hundred twenty-four thousand".
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