Base | Representation |
---|---|
bin | 11110000010110001100110… |
… | …111101010001000110111000 |
3 | 122022211201001022121222110021 |
4 | 132002301212331101012320 |
5 | 114304323020403343112 |
6 | 1145004352130500224 |
7 | 36555141434146060 |
oct | 3602614675210670 |
9 | 568751038558407 |
10 | 132132101231032 |
11 | 39112a00517111 |
12 | 129a0105434674 |
13 | 5896008120346 |
14 | 248b3292043a0 |
15 | 10420d4ae6907 |
hex | 782c66f511b8 |
132132101231032 has 64 divisors (see below), whose sum is σ = 287433666109440. Its totient is φ = 55769750467200.
The previous prime is 132132101230981. The next prime is 132132101231071. The reversal of 132132101231032 is 230132101231231.
It is a junction number, because it is equal to n+sod(n) for n = 132132101230988 and 132132101231006.
It is a congruent number.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 11854857 + ... + 20119687.
It is an arithmetic number, because the mean of its divisors is an integer number (4491151032960).
Almost surely, 2132132101231032 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 132132101231032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143716833054720).
132132101231032 is an abundant number, since it is smaller than the sum of its proper divisors (155301564878408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132132101231032 is a wasteful number, since it uses less digits than its factorization.
132132101231032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8269172 (or 8269168 counting only the distinct ones).
The product of its (nonzero) digits is 1296, while the sum is 25.
Adding to 132132101231032 its reverse (230132101231231), we get a palindrome (362264202462263).
The spelling of 132132101231032 in words is "one hundred thirty-two trillion, one hundred thirty-two billion, one hundred one million, two hundred thirty-one thousand, thirty-two".
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