Base | Representation |
---|---|
bin | 1100010010110010111… |
… | …1110001111100000000 |
3 | 202012011011210222011200 |
4 | 3010230233301330000 |
5 | 11430021223322240 |
6 | 241005325141200 |
7 | 21154556254554 |
oct | 3045457617400 |
9 | 665134728150 |
10 | 211204120320 |
11 | 81631246676 |
12 | 34b239ba800 |
13 | 16bbb61437b |
14 | a318127864 |
15 | 5761dd3930 |
hex | 312cbf1f00 |
211204120320 has 864 divisors, whose sum is σ = 787925698560. Its totient is φ = 52115374080.
The previous prime is 211204120241. The next prime is 211204120357. The reversal of 211204120320 is 23021402112.
It is a happy number.
211204120320 is a `hidden beast` number, since 21 + 1 + 204 + 120 + 320 = 666.
211204120320 is digitally balanced in base 3, 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).
It is a junction number, because it is equal to n+sod(n) for n = 211204120293 and 211204120302.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1937652426 + ... + 1937652534.
It is an arithmetic number, because the mean of its divisors is an integer number (911951040).
Almost surely, 2211204120320 is an apocalyptic number.
211204120320 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 211204120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393962849280).
211204120320 is an abundant number, since it is smaller than the sum of its proper divisors (576721578240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211204120320 is a wasteful number, since it uses less digits than its factorization.
211204120320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 333 (or 316 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 211204120320 its reverse (23021402112), we get a palindrome (234225522432).
The spelling of 211204120320 in words is "two hundred eleven billion, two hundred four million, one hundred twenty thousand, three hundred twenty".
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