Search a number
-
+
132430345200 = 243352112910861
BaseRepresentation
bin111101101010101110…
…1101011001111110000
3110122211022001120111000
41323111131223033300
54132204132021300
6140500533522000
712365514234606
oct1732535531760
9418738046430
10132430345200
115118852848a
12217ba7a3300
13c64655660a
1465a4187876
1536a13d0c00
hex1ed576b3f0

132430345200 has 240 divisors, whose sum is σ = 471814866400. Its totient is φ = 35280230400.

The previous prime is 132430345199. The next prime is 132430345247. The reversal of 132430345200 is 2543034231.

132430345200 is a `hidden beast` number, since 132 + 4 + 3 + 0 + 3 + 4 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 12187770 + ... + 12198630.

Almost surely, 2132430345200 is an apocalyptic number.

132430345200 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 132430345200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235907433200).

132430345200 is an abundant number, since it is smaller than the sum of its proper divisors (339384521200).

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

132430345200 is a wasteful number, since it uses less digits than its factorization.

132430345200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12017 (or 12000 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 132430345200 its reverse (2543034231), we get a palindrome (134973379431).

The spelling of 132430345200 in words is "one hundred thirty-two billion, four hundred thirty million, three hundred forty-five thousand, two hundred".