| Base | Representation |
|---|---|
| bin | 100000000001111101101… |
| … | …000111010010100101000 |
| 3 | 21210102111121120000010200 |
| 4 | 200001331220322110220 |
| 5 | 242030404032212300 |
| 6 | 4403104035112200 |
| 7 | 315012036630420 |
| oct | 40017550722450 |
| 9 | 7712447500120 |
| 10 | 2201131132200 |
| 11 | 779549160390 |
| 12 | 2b6716442660 |
| 13 | 12c748014630 |
| 14 | 7876cc95480 |
| 15 | 3c3ca8d7200 |
| hex | 2007da3a528 |
2201131132200 has 2304 divisors, whose sum is σ = 10310355095040. Its totient is φ = 406093824000.
The previous prime is 2201131132177. The next prime is 2201131132223. The reversal of 2201131132200 is 22311311022.
2201131132200 is a `hidden beast` number, since 2 + 20 + 11 + 311 + 322 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (2201131132177) and next prime (2201131132223).
It is a super-2 number, since 2×22011311322002 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
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 575 ways as a sum of consecutive naturals, for example, 9133324080 + ... + 9133324320.
It is an arithmetic number, because the mean of its divisors is an integer number (4474980510).
Almost surely, 22201131132200 is an apocalyptic number.
2201131132200 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 2201131132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5155177547520).
2201131132200 is an abundant number, since it is smaller than the sum of its proper divisors (8109223962840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2201131132200 is a wasteful number, since it uses less digits than its factorization.
2201131132200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 468 (or 456 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 2201131132200 its reverse (22311311022), we get a palindrome (2223442443222).
The spelling of 2201131132200 in words is "two trillion, two hundred one billion, one hundred thirty-one million, one hundred thirty-two thousand, two hundred".
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