Search a number
-
+
132133113200 = 245211218115083
BaseRepresentation
bin111101100001110111…
…1110100110101110000
3110122001120202121211102
41323003233310311300
54131102034110300
6140411235103532
712355244634164
oct1730357646560
9418046677742
10132133113200
1151045774700
1221737141ba8
13c5c9ab76aa
1465768d4ca4
15368526c0d5
hex1ec3bf4d70

132133113200 has 180 divisors, whose sum is σ = 350883495144. Its totient is φ = 47779776000.

The previous prime is 132133113199. The next prime is 132133113253. The reversal of 132133113200 is 2311331231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8752859 + ... + 8767941.

Almost surely, 2132133113200 is an apocalyptic number.

132133113200 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 132133113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175441747572).

132133113200 is an abundant number, since it is smaller than the sum of its proper divisors (218750381944).

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

132133113200 is a wasteful number, since it uses less digits than its factorization.

132133113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15304 (or 15282 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 132133113200 its reverse (2311331231), we get a palindrome (134444444431).

The spelling of 132133113200 in words is "one hundred thirty-two billion, one hundred thirty-three million, one hundred thirteen thousand, two hundred".