Base | Representation |
---|---|
bin | 111101100000111001… |
… | …0110100110101000000 |
3 | 110121222022002211112000 |
4 | 1323001302310311000 |
5 | 4131020142021102 |
6 | 140404104504000 |
7 | 12354366256416 |
oct | 1730162646500 |
9 | 417868084460 |
10 | 132100345152 |
11 | 51029223576 |
12 | 2172817b000 |
13 | c5c3083809 |
14 | 65724052b6 |
15 | 368244801c |
hex | 1ec1cb4d40 |
132100345152 has 112 divisors (see below), whose sum is σ = 391185928320. Its totient is φ = 43711958016.
The previous prime is 132100345151. The next prime is 132100345211. The reversal of 132100345152 is 251543001231.
132100345152 is a `hidden beast` number, since 13 + 2 + 100 + 34 + 515 + 2 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132100345151) 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 15 ways as a sum of consecutive naturals, for example, 42268 + ... + 515739.
Almost surely, 2132100345152 is an apocalyptic number.
132100345152 is a gapful number since it is divisible by the number (12) 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 132100345152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195592964160).
132100345152 is an abundant number, since it is smaller than the sum of its proper divisors (259085583168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132100345152 is a wasteful number, since it uses less digits than its factorization.
132100345152 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 558165 (or 558149 counting only the distinct ones).
The product of its (nonzero) digits is 3600, while the sum is 27.
Adding to 132100345152 its reverse (251543001231), we get a palindrome (383643346383).
The spelling of 132100345152 in words is "one hundred thirty-two billion, one hundred million, three hundred forty-five thousand, one hundred fifty-two".
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