Search a number
-
+
132332141010300 = 2235271125136762189
BaseRepresentation
bin11110000101101011111010…
…010000011101110101111100
3122100112211101102202122211220
4132011223322100131311330
5114321112211044312200
61145240314001313340
736605452550211450
oct3605537220356574
9570484342678756
10132332141010300
113918a822788040
1212a12a32335850
1358abb3775973a
142496ca46bc660
1510473e17c74a0
hex785afa41dd7c

132332141010300 has 576 divisors, whose sum is σ = 480573561323520. Its totient is φ = 27312969600000.

The previous prime is 132332141010287. The next prime is 132332141010323. The reversal of 132332141010300 is 3010141233231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2127871606 + ... + 2127933794.

It is an arithmetic number, because the mean of its divisors is an integer number (834329099520).

Almost surely, 2132332141010300 is an apocalyptic number.

132332141010300 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 132332141010300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240286780661760).

132332141010300 is an abundant number, since it is smaller than the sum of its proper divisors (348241420313220).

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

132332141010300 is a wasteful number, since it uses less digits than its factorization.

132332141010300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62842 (or 62835 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 132332141010300 its reverse (3010141233231), we get a palindrome (135342282243531).

The spelling of 132332141010300 in words is "one hundred thirty-two trillion, three hundred thirty-two billion, one hundred forty-one million, ten thousand, three hundred".