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132003310300 = 225231419101627
BaseRepresentation
bin111101011110000000…
…0101010101011011100
3110121201112111221201121
41322330000222223130
54130320321412200
6140350321020324
712352110424111
oct1727400525334
9417645457647
10132003310300
1150a89477884
12216bb7846a4
13c5a8c3a844
146563586908
153678b7be1a
hex1ebc02aadc

132003310300 has 72 divisors (see below), whose sum is σ = 296396029440. Its totient is φ = 50975601600.

The previous prime is 132003310297. The next prime is 132003310301. The reversal of 132003310300 is 3013300231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132003310301) 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 23 ways as a sum of consecutive naturals, for example, 1248087 + ... + 1349713.

It is an arithmetic number, because the mean of its divisors is an integer number (4116611520).

Almost surely, 2132003310300 is an apocalyptic number.

132003310300 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 132003310300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148198014720).

132003310300 is an abundant number, since it is smaller than the sum of its proper divisors (164392719140).

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

132003310300 is a wasteful number, since it uses less digits than its factorization.

132003310300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102091 (or 102084 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 132003310300 its reverse (3013300231), we get a palindrome (135016610531).

The spelling of 132003310300 in words is "one hundred thirty-two billion, three million, three hundred ten thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 419 620 775 838 1550 1676 2095 3100 4190 8380 10475 12989 20950 25978 41900 51956 64945 101627 129890 203254 259780 324725 406508 508135 649450 1016270 1298900 2032540 2540675 3150437 5081350 6300874 10162700 12601748 15752185 31504370 42581713 63008740 78760925 85163426 157521850 170326852 212908565 315043700 425817130 851634260 1064542825 1320033103 2129085650 2640066206 4258171300 5280132412 6600165515 13200331030 26400662060 33000827575 66001655150 132003310300