| Base | Representation |
|---|---|
| bin | 1100010010111001001… |
| … | …1101110100111100000 |
| 3 | 202012020000010002220200 |
| 4 | 3010232103232213200 |
| 5 | 11430044430233440 |
| 6 | 241012102505200 |
| 7 | 21155325051000 |
| oct | 3045623564740 |
| 9 | 665200102820 |
| 10 | 211230321120 |
| 11 | 81645011725 |
| 12 | 34b30735200 |
| 13 | 16bc3b88cc0 |
| 14 | a31b7c8000 |
| 15 | 576435bc30 |
| hex | 312e4ee9e0 |
211230321120 has 1152 divisors, whose sum is σ = 920655590400. Its totient is φ = 43812679680.
The previous prime is 211230321109. The next prime is 211230321167. The reversal of 211230321120 is 21123032112.
211230321120 is digitally balanced in base 2, 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 = 211230321093 and 211230321102.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 430204075 + ... + 430204565.
It is an arithmetic number, because the mean of its divisors is an integer number (799180200).
Almost surely, 2211230321120 is an apocalyptic number.
211230321120 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 211230321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460327795200).
211230321120 is an abundant number, since it is smaller than the sum of its proper divisors (709425269280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211230321120 is a wasteful number, since it uses less digits than its factorization.
211230321120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 613 (or 588 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 211230321120 its reverse (21123032112), we get a palindrome (232353353232).
The spelling of 211230321120 in words is "two hundred eleven billion, two hundred thirty million, three hundred twenty-one thousand, one hundred twenty".
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