Base | Representation |
---|---|
bin | 11110000101100011100001… |
… | …111000110000001001100100 |
3 | 122100111222011021221001002200 |
4 | 132011203201320300021210 |
5 | 114320440243401043202 |
6 | 1145232225021534500 |
7 | 36605013550510530 |
oct | 3605434170601144 |
9 | 570458137831080 |
10 | 132323142206052 |
11 | 39186a25133236 |
12 | 12a11140714430 |
13 | 58ab0323077b5 |
14 | 249668d4d8bc0 |
15 | 1047066784e1c |
hex | 7858e1e30264 |
132323142206052 has 144 divisors (see below), whose sum is σ = 386082562320000. Its totient is φ = 37429294348800.
The previous prime is 132323142206051. The next prime is 132323142206081. The reversal of 132323142206052 is 250602241323231.
132323142206052 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 2 + 3 + 1 + 42 + 2 + 0 + 605 + 2 = 666.
132323142206052 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 132323142205998 and 132323142206016.
It is not an unprimeable number, because it can be changed into a prime (132323142206051) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 328103824 + ... + 328506872.
It is an arithmetic number, because the mean of its divisors is an integer number (2681128905000).
Almost surely, 2132323142206052 is an apocalyptic number.
132323142206052 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 132323142206052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193041281160000).
132323142206052 is an abundant number, since it is smaller than the sum of its proper divisors (253759420113948).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132323142206052 is a wasteful number, since it uses less digits than its factorization.
132323142206052 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 416066 (or 416061 counting only the distinct ones).
The product of its (nonzero) digits is 103680, while the sum is 36.
Adding to 132323142206052 its reverse (250602241323231), we get a palindrome (382925383529283).
The spelling of 132323142206052 in words is "one hundred thirty-two trillion, three hundred twenty-three billion, one hundred forty-two million, two hundred six thousand, fifty-two".
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