Base | Representation |
---|---|
bin | 111101100110110110… |
… | …0110111110100011100 |
3 | 110122111012222222221000 |
4 | 1323031230313310130 |
5 | 4131422312024012 |
6 | 140440002310300 |
7 | 12362343250500 |
oct | 1731554676434 |
9 | 418435888830 |
10 | 132300111132 |
11 | 51120a66722 |
12 | 21783058390 |
13 | c625588437 |
14 | 6590b66300 |
15 | 3694c57ddc |
hex | 1ecdb37d1c |
132300111132 has 144 divisors (see below), whose sum is σ = 400477002240. Its totient is φ = 37660140000.
The previous prime is 132300111131. The next prime is 132300111173. The reversal of 132300111132 is 231111003231.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132300111131) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1388007 + ... + 1480257.
Almost surely, 2132300111132 is an apocalyptic number.
132300111132 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 132300111132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200238501120).
132300111132 is an abundant number, since it is smaller than the sum of its proper divisors (268176891108).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132300111132 is a wasteful number, since it uses less digits than its factorization.
132300111132 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 92549 (or 92534 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 18.
Adding to 132300111132 its reverse (231111003231), we get a palindrome (363411114363).
The spelling of 132300111132 in words is "one hundred thirty-two billion, three hundred million, one hundred eleven thousand, one hundred thirty-two".
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