Base | Representation |
---|---|
bin | 111101100001010101… |
… | …0110110010001100000 |
3 | 110122000022201221220100 |
4 | 1323002222312101200 |
5 | 4131032421444021 |
6 | 140405351342400 |
7 | 12354635143614 |
oct | 1730252662140 |
9 | 418008657810 |
10 | 132115031136 |
11 | 51036544350 |
12 | 21731081a00 |
13 | c5c612624a |
14 | 6574349344 |
15 | 3683899626 |
hex | 1ec2ab6460 |
132115031136 has 144 divisors (see below), whose sum is σ = 409989565440. Its totient is φ = 40021896960.
The previous prime is 132115031017. The next prime is 132115031149. The reversal of 132115031136 is 631130511231.
It is a happy number.
132115031136 is a `hidden beast` number, since 1 + 3 + 21 + 1 + 503 + 1 + 136 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a congruent number.
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 23 ways as a sum of consecutive naturals, for example, 15148185 + ... + 15156903.
It is an arithmetic number, because the mean of its divisors is an integer number (2847149760).
Almost surely, 2132115031136 is an apocalyptic number.
132115031136 is a gapful number since it is divisible by the number (16) 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 132115031136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204994782720).
132115031136 is an abundant number, since it is smaller than the sum of its proper divisors (277874534304).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132115031136 is a wasteful number, since it uses less digits than its factorization.
132115031136 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13529 (or 13518 counting only the distinct ones).
The product of its (nonzero) digits is 1620, while the sum is 27.
Adding to 132115031136 its reverse (631130511231), we get a palindrome (763245542367).
The spelling of 132115031136 in words is "one hundred thirty-two billion, one hundred fifteen million, thirty-one thousand, one hundred thirty-six".
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