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132300330000 = 243545777643
BaseRepresentation
bin111101100110110110…
…1101101010000010000
3110122111020102010011020
41323031231231100100
54131422341030000
6140440011115440
712362345151546
oct1731555552020
9418436363136
10132300330000
11511210a6103
1221783142b80
13c625633c47
146590bc1d96
153694c9cba0
hex1ecdb6d410

132300330000 has 200 divisors, whose sum is σ = 427879259808. Its totient is φ = 35214336000.

The previous prime is 132300329989. The next prime is 132300330007. The reversal of 132300330000 is 33003231.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (132300330007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17306179 + ... + 17313821.

Almost surely, 2132300330000 is an apocalyptic number.

132300330000 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 132300330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213939629904).

132300330000 is an abundant number, since it is smaller than the sum of its proper divisors (295578929808).

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

132300330000 is an equidigital number, since it uses as much as digits as its factorization.

132300330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8251 (or 8230 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 132300330000 its reverse (33003231), we get a palindrome (132333333231).

The spelling of 132300330000 in words is "one hundred thirty-two billion, three hundred million, three hundred thirty thousand".