| Base | Representation |
|---|---|
| bin | 1111101001001… |
| … | …01111001000000 |
| 3 | 100010221000212200 |
| 4 | 13310211321000 |
| 5 | 232043232300 |
| 6 | 21004353200 |
| 7 | 3152261406 |
| oct | 764457100 |
| 9 | 303830780 |
| 10 | 131227200 |
| 11 | 6808aa35 |
| 12 | 37b45800 |
| 13 | 21258240 |
| 14 | 135dd476 |
| 15 | b7c2200 |
| hex | 7d25e40 |
131227200 has 252 divisors, whose sum is σ = 503006868. Its totient is φ = 32256000.
The previous prime is 131227181. The next prime is 131227211. The reversal of 131227200 is 2722131.
It can be written as a sum of positive squares in 6 ways, for example, as 2359296 + 128867904 = 1536^2 + 11352^2 .
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 (13) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 186850 + ... + 187550.
It is an arithmetic number, because the mean of its divisors is an integer number (1996059).
Almost surely, 2131227200 is an apocalyptic number.
131227200 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 131227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251503434).
131227200 is an abundant number, since it is smaller than the sum of its proper divisors (371779668).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131227200 is a wasteful number, since it uses less digits than its factorization.
131227200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 742 (or 724 counting only the distinct ones).
The product of its (nonzero) digits is 168, while the sum is 18.
The square root of 131227200 is about 11455.4441205917. Note that the first 3 decimals coincide. The cubic root of 131227200 is about 508.1687496088.
Adding to 131227200 its reverse (2722131), we get a palindrome (133949331).
It can be divided in two parts, 13122 and 7200, that multiplied together give a square (94478400 = 97202).
The spelling of 131227200 in words is "one hundred thirty-one million, two hundred twenty-seven thousand, two hundred".
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