| Base | Representation |
|---|---|
| bin | 1001010010111100100111… |
| … | …0000110001011101110000 |
| 3 | 1100012010110212211222102200 |
| 4 | 2110233021300301131300 |
| 5 | 2314430314210444440 |
| 6 | 33423303014543200 |
| 7 | 2103310455145020 |
| oct | 224571160613560 |
| 9 | 40163425758380 |
| 10 | 10221112203120 |
| 11 | 3290827413975 |
| 12 | 1190b05967b00 |
| 13 | 591b013b6580 |
| 14 | 2749c10cda80 |
| 15 | 12ad1bac9c30 |
| hex | 94bc9c31770 |
10221112203120 has 960 divisors, whose sum is σ = 43609175500800. Its totient is φ = 2087614881792.
The previous prime is 10221112203109. The next prime is 10221112203143. The reversal of 10221112203120 is 2130221112201.
10221112203120 is a `hidden beast` number, since 1 + 0 + 22 + 111 + 220 + 312 + 0 = 666.
It is a super-2 number, since 2×102211122031202 (a number of 27 digits) contains 22 as substring.
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 = 10221112203093 and 10221112203102.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 482413167 + ... + 482434353.
It is an arithmetic number, because the mean of its divisors is an integer number (45426224480).
Almost surely, 210221112203120 is an apocalyptic number.
10221112203120 is a gapful number since it is divisible by the number (10) 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 10221112203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21804587750400).
10221112203120 is an abundant number, since it is smaller than the sum of its proper divisors (33388063297680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10221112203120 is a wasteful number, since it uses less digits than its factorization.
10221112203120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 21462 (or 21453 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 18.
Adding to 10221112203120 its reverse (2130221112201), we get a palindrome (12351333315321).
The spelling of 10221112203120 in words is "ten trillion, two hundred twenty-one billion, one hundred twelve million, two hundred three thousand, one hundred twenty".
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