Base | Representation |
---|---|
bin | 111101011110111001… |
… | …0110011010011010000 |
3 | 110121210121211000212211 |
4 | 1322331302303103100 |
5 | 4130401001330112 |
6 | 140353310201504 |
7 | 12352622636464 |
oct | 1727562632320 |
9 | 417717730784 |
10 | 132033230032 |
11 | 50aa4352a30 |
12 | 217097b3294 |
13 | c5b21b5122 |
14 | 65675344a4 |
15 | 367b5dc0a7 |
hex | 1ebdcb34d0 |
132033230032 has 160 divisors (see below), whose sum is σ = 287458387200. Its totient is φ = 58246594560.
The previous prime is 132033229997. The next prime is 132033230039. The reversal of 132033230032 is 230032330231.
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a junction number, because it is equal to n+sod(n) for n = 132033229985 and 132033230012.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132033230039) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288912748 + ... + 288913204.
It is an arithmetic number, because the mean of its divisors is an integer number (1796614920).
Almost surely, 2132033230032 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 132033230032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143729193600).
132033230032 is an abundant number, since it is smaller than the sum of its proper divisors (155425157168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132033230032 is a wasteful number, since it uses less digits than its factorization.
132033230032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 861 (or 855 counting only the distinct ones).
The product of its (nonzero) digits is 1944, while the sum is 22.
Adding to 132033230032 its reverse (230032330231), we get a palindrome (362065560263).
The spelling of 132033230032 in words is "one hundred thirty-two billion, thirty-three million, two hundred thirty thousand, thirty-two".
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