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132301020224 = 266133888581
BaseRepresentation
bin111101100110111000…
…0010101110001000000
3110122111021201011222002
41323031300111301000
54131423030121344
6140440034003132
712362354055062
oct1731560256100
9418437634862
10132301020224
115112152773a
12217834164a8
13c625816169
146590d21732
153694d8744e
hex1ecdc15c40

132301020224 has 28 divisors (see below), whose sum is σ = 266838694668. Its totient is φ = 65066073600.

The previous prime is 132301020169. The next prime is 132301020227. The reversal of 132301020224 is 422020103231.

It can be written as a sum of positive squares in 2 ways, for example, as 58773274624 + 73527745600 = 242432^2 + 271160^2 .

It is a super-2 number, since 2×1323010202242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132301020196 and 132301020205.

It is not an unprimeable number, because it can be changed into a prime (132301020227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16940387 + ... + 16948194.

It is an arithmetic number, because the mean of its divisors is an integer number (9529953381).

Almost surely, 2132301020224 is an apocalyptic number.

It is an amenable number.

132301020224 is an abundant number, since it is smaller than the sum of its proper divisors (134537674444).

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

132301020224 is an equidigital number, since it uses as much as digits as its factorization.

132301020224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33888654 (or 33888644 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 132301020224 its reverse (422020103231), we get a palindrome (554321123455).

The spelling of 132301020224 in words is "one hundred thirty-two billion, three hundred one million, twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 976 1952 3904 33888581 67777162 135554324 271108648 542217296 1084434592 2067203441 2168869184 4134406882 8268813764 16537627528 33075255056 66150510112 132301020224