Search a number
-
+
132313232310200 = 235231591811199729
BaseRepresentation
bin11110000101011010010011…
…001101011111111110111000
3122100111000120122201011121222
4132011122103031133332320
5114320304444432411300
61145223505414251212
736604213146004064
oct3605322315377670
9570430518634558
10132313232310200
11391827aa270867
1212a0b235956b08
1358aa1131a77b6
142495dcd30caa4
151046b86774785
hex78569335ffb8

132313232310200 has 192 divisors, whose sum is σ = 323113926528000. Its totient is φ = 50321869056000.

The previous prime is 132313232310163. The next prime is 132313232310211. The reversal of 132313232310200 is 2013232313231.

It is a self number, because there is not a number n which added to its sum of digits gives 132313232310200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 662363936 + ... + 662563664.

It is an arithmetic number, because the mean of its divisors is an integer number (1682885034000).

Almost surely, 2132313232310200 is an apocalyptic number.

132313232310200 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 132313232310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161556963264000).

132313232310200 is an abundant number, since it is smaller than the sum of its proper divisors (190800694217800).

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

132313232310200 is a wasteful number, since it uses less digits than its factorization.

132313232310200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201646 (or 201637 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 132313232310200 its reverse (2013232313231), we get a palindrome (134326464623431).

The spelling of 132313232310200 in words is "one hundred thirty-two trillion, three hundred thirteen billion, two hundred thirty-two million, three hundred ten thousand, two hundred".