| Base | Representation |
|---|---|
| bin | 1100001111001000100… |
| … | …1111110010101110000 |
| 3 | 202002121200010221111021 |
| 4 | 3003302021332111300 |
| 5 | 11421013102143440 |
| 6 | 240324012225224 |
| 7 | 21121322063050 |
| oct | 3036211762560 |
| 9 | 662550127437 |
| 10 | 210221131120 |
| 11 | 81177391300 |
| 12 | 348aa76b214 |
| 13 | 16a92a81b60 |
| 14 | a263767560 |
| 15 | 570596284a |
| hex | 30f227e570 |
210221131120 has 240 divisors, whose sum is σ = 661217054400. Its totient is φ = 60482949120.
The previous prime is 210221131103. The next prime is 210221131139. The reversal of 210221131120 is 21131122012.
210221131120 is digitally balanced in base 2 and base 3, because in such bases 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 (16).
It is a junction number, because it is equal to n+sod(n) for n = 210221131094 and 210221131103.
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 47 ways as a sum of consecutive naturals, for example, 761556 + ... + 1000204.
It is an arithmetic number, because the mean of its divisors is an integer number (2755071060).
Almost surely, 2210221131120 is an apocalyptic number.
210221131120 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 210221131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330608527200).
210221131120 is an abundant number, since it is smaller than the sum of its proper divisors (450995923280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
210221131120 is a wasteful number, since it uses less digits than its factorization.
210221131120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 238704 (or 238687 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 16.
Adding to 210221131120 its reverse (21131122012), we get a palindrome (231352253132).
The spelling of 210221131120 in words is "two hundred ten billion, two hundred twenty-one million, one hundred thirty-one thousand, one hundred twenty".
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