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132302020032 = 2634713283991
BaseRepresentation
bin111101100110111010…
…0001001110111000000
3110122111100120222110000
41323031310021313000
54131423304120112
6140440111240000
712362365421010
oct1731564116700
9418440528400
10132302020032
115112204a926
1221783819000
13c625aa6270
146591101c40
153694ed37dc
hex1ecdd09dc0

132302020032 has 560 divisors, whose sum is σ = 484883187712. Its totient is φ = 34734458880.

The previous prime is 132302020031. The next prime is 132302020063. The reversal of 132302020032 is 230020203231.

It is a happy number.

132302020032 is a `hidden beast` number, since 132 + 302 + 0 + 200 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132302019987 and 132302020014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132302020031) 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 79 ways as a sum of consecutive naturals, for example, 133503057 + ... + 133504047.

Almost surely, 2132302020032 is an apocalyptic number.

132302020032 is a gapful number since it is divisible by the number (12) 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 132302020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242441593856).

132302020032 is an abundant number, since it is smaller than the sum of its proper divisors (352581167680).

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

132302020032 is a wasteful number, since it uses less digits than its factorization.

132302020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 132302020032 its reverse (230020203231), we get a palindrome (362322223263).

The spelling of 132302020032 in words is "one hundred thirty-two billion, three hundred two million, twenty thousand, thirty-two".