Base | Representation |
---|---|
bin | 111101100100001101… |
… | …0000101011111100000 |
3 | 110122021000212221101200 |
4 | 1323020122011133200 |
5 | 4131232043102240 |
6 | 140423111001200 |
7 | 12360214340031 |
oct | 1731032053740 |
9 | 418230787350 |
10 | 132211300320 |
11 | 51085917860 |
12 | 21759369200 |
13 | c610061868 |
14 | 6583048a88 |
15 | 368c063930 |
hex | 1ec86857e0 |
132211300320 has 288 divisors, whose sum is σ = 493118720640. Its totient is φ = 31990533120.
The previous prime is 132211300297. The next prime is 132211300327. The reversal of 132211300320 is 23003112231.
132211300320 is a `hidden beast` number, since 1 + 32 + 2 + 11 + 300 + 320 = 666.
132211300320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (288).
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 = 132211300293 and 132211300302.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132211300327) 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, 8656851 + ... + 8672109.
It is an arithmetic number, because the mean of its divisors is an integer number (1712217780).
Almost surely, 2132211300320 is an apocalyptic number.
132211300320 is a gapful number since it is divisible by the number (10) 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 132211300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246559360320).
132211300320 is an abundant number, since it is smaller than the sum of its proper divisors (360907420320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132211300320 is a wasteful number, since it uses less digits than its factorization.
132211300320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 15838 (or 15827 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 132211300320 its reverse (23003112231), we get a palindrome (155214412551).
The spelling of 132211300320 in words is "one hundred thirty-two billion, two hundred eleven million, three hundred thousand, three hundred twenty".
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