| Base | Representation |
|---|---|
| bin | 101111101011110010… |
| … | …1010000000001011000 |
| 3 | 100210022111202120201021 |
| 4 | 1133113211100001120 |
| 5 | 3134204141123300 |
| 6 | 115013055132224 |
| 7 | 10253411052310 |
| oct | 1372745200130 |
| 9 | 323274676637 |
| 10 | 102401114200 |
| 11 | 3a478839800 |
| 12 | 17a19b14074 |
| 13 | 986c0c8588 |
| 14 | 4d55cd0440 |
| 15 | 29e4e30d1a |
| hex | 17d7950058 |
102401114200 has 288 divisors, whose sum is σ = 301160412000. Its totient is φ = 31695206400.
The previous prime is 102401114183. The next prime is 102401114209. The reversal of 102401114200 is 2411104201.
It is a happy number.
102401114200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (102401114209) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25238572 + ... + 25242628.
It is an arithmetic number, because the mean of its divisors is an integer number (1045695875).
Almost surely, 2102401114200 is an apocalyptic number.
102401114200 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 102401114200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150580206000).
102401114200 is an abundant number, since it is smaller than the sum of its proper divisors (198759297800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102401114200 is a wasteful number, since it uses less digits than its factorization.
102401114200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4251 (or 4231 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 16.
Adding to 102401114200 its reverse (2411104201), we get a palindrome (104812218401).
Subtracting from 102401114200 its reverse (2411104201), we obtain a palindrome (99990009999).
The spelling of 102401114200 in words is "one hundred two billion, four hundred one million, one hundred fourteen thousand, two hundred".
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