Search a number
-
+
132134022013332 = 22317191492577971117
BaseRepresentation
bin11110000010110011011001…
…011100011110000110010100
3122022211220000011220211102110
4132002303121130132012110
5114304340434113411312
61145005310503511020
736555240146423343
oct3602633134360624
9568756004824373
10132134022013332
11391137a67772a9
12129a0560758470
13589625304c411
14248b46c35bb5a
15104219855c43c
hex782cd971e194

132134022013332 has 384 divisors, whose sum is σ = 348029607744000. Its totient is φ = 38773180071936.

The previous prime is 132134022013327. The next prime is 132134022013457. The reversal of 132134022013332 is 233310220431231.

It is a self number, because there is not a number n which added to its sum of digits gives 132134022013332.

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 127 ways as a sum of consecutive naturals, for example, 118293662838 + ... + 118293663954.

It is an arithmetic number, because the mean of its divisors is an integer number (906327103500).

Almost surely, 2132134022013332 is an apocalyptic number.

132134022013332 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 132134022013332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174014803872000).

132134022013332 is an abundant number, since it is smaller than the sum of its proper divisors (215895585730668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132134022013332 is a wasteful number, since it uses less digits than its factorization.

132134022013332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2363 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 132134022013332 its reverse (233310220431231), we get a palindrome (365444242444563).

The spelling of 132134022013332 in words is "one hundred thirty-two trillion, one hundred thirty-four billion, twenty-two million, thirteen thousand, three hundred thirty-two".