| Base | Representation |
|---|---|
| bin | 101111100110000110… |
| … | …0101000101011001000 |
| 3 | 100202211012100200020010 |
| 4 | 1133030030220223020 |
| 5 | 3133311242042300 |
| 6 | 114542113231520 |
| 7 | 10245601422210 |
| oct | 1371414505310 |
| 9 | 322735320203 |
| 10 | 102210112200 |
| 11 | 3a38aa42109 |
| 12 | 17985b625a0 |
| 13 | 983b671a41 |
| 14 | 4d387b1240 |
| 15 | 29d32a2a50 |
| hex | 17cc328ac8 |
102210112200 has 192 divisors, whose sum is σ = 364286684160. Its totient is φ = 23222257920.
The previous prime is 102210112177. The next prime is 102210112253. The reversal of 102210112200 is 2211012201.
It is a super-3 number, since 3×1022101122003 (a number of 34 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is an unprimeable number.
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 47 ways as a sum of consecutive naturals, for example, 628539 + ... + 774261.
It is an arithmetic number, because the mean of its divisors is an integer number (1897326480).
Almost surely, 2102210112200 is an apocalyptic number.
102210112200 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 102210112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182143342080).
102210112200 is an abundant number, since it is smaller than the sum of its proper divisors (262076571960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102210112200 is a wasteful number, since it uses less digits than its factorization.
102210112200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 145916 (or 145907 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 12.
Adding to 102210112200 its reverse (2211012201), we get a palindrome (104421124401).
Subtracting from 102210112200 its reverse (2211012201), we obtain a palindrome (99999099999).
It can be divided in two parts, 1022101 and 12200, that added together give a palindrome (1034301).
The spelling of 102210112200 in words is "one hundred two billion, two hundred ten million, one hundred twelve thousand, two hundred".
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