Base | Representation |
---|---|
bin | 111101100110111010… |
… | …0110101110011100000 |
3 | 110122111100221010100200 |
4 | 1323031310311303200 |
5 | 4131423330400112 |
6 | 140440115145200 |
7 | 12362400100542 |
oct | 1731564656340 |
9 | 418440833320 |
10 | 132302200032 |
11 | 51122163092 |
12 | 217838a5200 |
13 | c625b3a182 |
14 | 659114b692 |
15 | 369501bcdc |
hex | 1ecdd35ce0 |
132302200032 has 144 divisors (see below), whose sum is σ = 386736910560. Its totient is φ = 42871735296.
The previous prime is 132302199989. The next prime is 132302200061. The reversal of 132302200032 is 230002203231.
It is a happy number.
132302200032 is a `hidden beast` number, since 132 + 302 + 200 + 0 + 32 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 132302199978 and 132302200014.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14050558 + ... + 14059970.
It is an arithmetic number, because the mean of its divisors is an integer number (2685672990).
Almost surely, 2132302200032 is an apocalyptic number.
132302200032 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 132302200032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193368455280).
132302200032 is an abundant number, since it is smaller than the sum of its proper divisors (254434710528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132302200032 is a wasteful number, since it uses less digits than its factorization.
132302200032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10785 (or 10774 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
Adding to 132302200032 its reverse (230002203231), we get a palindrome (362304403263).
The spelling of 132302200032 in words is "one hundred thirty-two billion, three hundred two million, two hundred thousand, thirty-two".
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