| Base | Representation |
|---|---|
| bin | 10011000001011001… |
| … | …11010100101000000 |
| 3 | 222100201021200121100 |
| 4 | 21200230322211000 |
| 5 | 131403323242400 |
| 6 | 4405205254400 |
| 7 | 511033205235 |
| oct | 114054724500 |
| 9 | 28321250540 |
| 10 | 10212321600 |
| 11 | 4370653408 |
| 12 | 1b90104400 |
| 13 | c69999c60 |
| 14 | 6cc43178c |
| 15 | 3eb84d100 |
| hex | 260b3a940 |
10212321600 has 504 divisors, whose sum is σ = 41401334520. Its totient is φ = 2365194240.
The previous prime is 10212321557. The next prime is 10212321607. The reversal of 10212321600 is 612321201.
10212321600 is a `hidden beast` number, since 1 + 0 + 21 + 23 + 21 + 600 = 666.
It can be written as a sum of positive squares in 12 ways, for example, as 2792911104 + 7419410496 = 52848^2 + 86136^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10212321607) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3180796 + ... + 3184004.
It is an arithmetic number, because the mean of its divisors is an integer number (82145505).
Almost surely, 210212321600 is an apocalyptic number.
10212321600 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 10212321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20700667260).
10212321600 is an abundant number, since it is smaller than the sum of its proper divisors (31189012920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10212321600 is a wasteful number, since it uses less digits than its factorization.
10212321600 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3267 (or 3249 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 10212321600 its reverse (612321201), we get a palindrome (10824642801).
The spelling of 10212321600 in words is "ten billion, two hundred twelve million, three hundred twenty-one thousand, six hundred".
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