Base | Representation |
---|---|
bin | 111101000110001110… |
… | …0101001110001010000 |
3 | 110112122220222212120221 |
4 | 1322030130221301100 |
5 | 4122202031341430 |
6 | 140135213442424 |
7 | 12323250663562 |
oct | 1721434516120 |
9 | 415586885527 |
10 | 131205340240 |
11 | 50709aa3097 |
12 | 215184a0414 |
13 | c4ac818900 |
14 | 64c95c9332 |
15 | 362daa657a |
hex | 1e8c729c50 |
131205340240 has 120 divisors (see below), whose sum is σ = 332306731008. Its totient is φ = 48154129920.
The previous prime is 131205340187. The next prime is 131205340243. The reversal of 131205340240 is 42043502131.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (131205340243) 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 23 ways as a sum of consecutive naturals, for example, 2228785 + ... + 2286895.
Almost surely, 2131205340240 is an apocalyptic number.
131205340240 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 131205340240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166153365504).
131205340240 is an abundant number, since it is smaller than the sum of its proper divisors (201101390768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131205340240 is a wasteful number, since it uses less digits than its factorization.
131205340240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 58317 (or 58298 counting only the distinct ones).
The product of its (nonzero) digits is 2880, while the sum is 25.
Adding to 131205340240 its reverse (42043502131), we get a palindrome (173248842371).
The spelling of 131205340240 in words is "one hundred thirty-one billion, two hundred five million, three hundred forty thousand, two hundred forty".
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