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132004200000 = 263553147151
BaseRepresentation
bin111101011110000010…
…0000011111001000000
3110121201121012011011110
41322330010003321000
54130321033400000
6140350352043320
712352121121021
oct1727404037100
9417647164143
10132004200000
1150a89a25272
12216bbb33540
13c5a918c7aa
146563738c48
153678ca5850
hex1ebc103e40

132004200000 has 672 divisors, whose sum is σ = 463266349056. Its totient is φ = 33120000000.

The previous prime is 132004199867. The next prime is 132004200001. The reversal of 132004200000 is 2400231.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (132004200001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 874199925 + ... + 874200075.

It is an arithmetic number, because the mean of its divisors is an integer number (689384448).

Almost surely, 2132004200000 is an apocalyptic number.

132004200000 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 132004200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231633174528).

132004200000 is an abundant number, since it is smaller than the sum of its proper divisors (331262149056).

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

132004200000 is an equidigital number, since it uses as much as digits as its factorization.

132004200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 132004200000 its reverse (2400231), we get a palindrome (132006600231).

The spelling of 132004200000 in words is "one hundred thirty-two billion, four million, two hundred thousand".