| Base | Representation |
|---|---|
| bin | 1111101110111… |
| … | …11111011010000 |
| 3 | 100012100202010220 |
| 4 | 13313133323100 |
| 5 | 232242123300 |
| 6 | 21032553040 |
| 7 | 3161614110 |
| oct | 767377320 |
| 9 | 305322126 |
| 10 | 131989200 |
| 11 | 68560492 |
| 12 | 38252780 |
| 13 | 21464025 |
| 14 | 1375b040 |
| 15 | b8c2da0 |
| hex | 7ddfed0 |
131989200 has 240 divisors, whose sum is σ = 509253120. Its totient is φ = 28546560.
The previous prime is 131989199. The next prime is 131989201. The reversal of 131989200 is 2989131.
It is an interprime number because it is at equal distance from previous prime (131989199) and next prime (131989201).
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-2 number, since 2×1319892002 = 34842297833280000, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (131989201) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159187 + ... + 160013.
It is an arithmetic number, because the mean of its divisors is an integer number (2121888).
Almost surely, 2131989200 is an apocalyptic number.
131989200 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 131989200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254626560).
131989200 is an abundant number, since it is smaller than the sum of its proper divisors (377263920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131989200 is a wasteful number, since it uses less digits than its factorization.
131989200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 874 (or 863 counting only the distinct ones).
The product of its (nonzero) digits is 3888, while the sum is 33.
The square root of 131989200 is about 11488.6552737907. The cubic root of 131989200 is about 509.1504502871.
The spelling of 131989200 in words is "one hundred thirty-one million, nine hundred eighty-nine thousand, two hundred".
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