| Base | Representation |
|---|---|
| bin | 1100011100100001001… |
| … | …0110001000000000000 |
| 3 | 202102220001022101211011 |
| 4 | 3013020102301000000 |
| 5 | 12000342310310000 |
| 6 | 242120310530304 |
| 7 | 21306334654531 |
| oct | 3071022610000 |
| 9 | 672801271734 |
| 10 | 213813760000 |
| 11 | 82750325585 |
| 12 | 35531966994 |
| 13 | 17216180b69 |
| 14 | a4c4958688 |
| 15 | 586606a2ba |
| hex | 31c84b1000 |
213813760000 has 325 divisors, whose sum is σ = 567691351711. Its totient is φ = 80494592000.
The previous prime is 213813759997. The next prime is 213813760003. The reversal of 213813760000 is 67318312.
The square root of 213813760000 is 462400.
It is a perfect power (a square, a biquadrate), and thus also a powerful number.
213813760000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (213813759997) and next prime (213813760003).
It can be written as a sum of positive squares in 12 ways, for example, as 194276429824 + 19537330176 = 440768^2 + 139776^2 .
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (213813760003) by changing a digit.
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 24 ways as a sum of consecutive naturals, for example, 12577279992 + ... + 12577280008.
Almost surely, 2213813760000 is an apocalyptic number.
213813760000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
213813760000 is the 462400-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 213813760000
213813760000 is an abundant number, since it is smaller than the sum of its proper divisors (353877591711).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213813760000 is an frugal number, since it uses more digits than its factorization.
213813760000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 112 (or 24 counting only the distinct ones).
The product of its (nonzero) digits is 6048, while the sum is 31.
The spelling of 213813760000 in words is "two hundred thirteen billion, eight hundred thirteen million, seven hundred sixty thousand".
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