| Base | Representation |
|---|---|
| bin | 1100010010110100011… |
| … | …0110000010110010000 |
| 3 | 202012011121010221220100 |
| 4 | 3010231012300112100 |
| 5 | 11430024244034440 |
| 6 | 241010102212400 |
| 7 | 21154661411004 |
| oct | 3045506602620 |
| 9 | 665147127810 |
| 10 | 211210143120 |
| 11 | 8163468a699 |
| 12 | 34b25a24100 |
| 13 | 16bbc942862 |
| 14 | a318c54704 |
| 15 | 57626c3230 |
| hex | 312d1b0590 |
211210143120 has 240 divisors, whose sum is σ = 725306046192. Its totient is φ = 55060561920.
The previous prime is 211210143119. The next prime is 211210143127. The reversal of 211210143120 is 21341012112.
211210143120 is a `hidden beast` number, since 2 + 1 + 1 + 210 + 1 + 431 + 20 = 666.
211210143120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 8 ways, for example, as 1090584576 + 210119558544 = 33024^2 + 458388^2 .
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 211210143093 and 211210143102.
It is not an unprimeable number, because it can be changed into a prime (211210143127) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10713112 + ... + 10732808.
Almost surely, 2211210143120 is an apocalyptic number.
211210143120 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 211210143120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362653023096).
211210143120 is an abundant number, since it is smaller than the sum of its proper divisors (514095903072).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211210143120 is a wasteful number, since it uses less digits than its factorization.
211210143120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 20050 (or 20041 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 18.
Adding to 211210143120 its reverse (21341012112), we get a palindrome (232551155232).
The spelling of 211210143120 in words is "two hundred eleven billion, two hundred ten million, one hundred forty-three thousand, one hundred twenty".
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