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132300133329 = 3721369230839
BaseRepresentation
bin111101100110110110…
…0111101001111010001
3110122111020001010101010
41323031230331033101
54131422313231304
6140440003001133
712362343402300
oct1731554751721
9418436033333
10132300133329
1151120a81371
12217830691a9
13c625595580
146590b70437
153694c5e789
hex1ecdb3d3d1

132300133329 has 24 divisors (see below), whose sum is σ = 220984841280. Its totient is φ = 69784684704.

The previous prime is 132300133283. The next prime is 132300133337. The reversal of 132300133329 is 923331003231.

It is a de Polignac number, because none of the positive numbers 2k-132300133329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132300133296 and 132300133305.

It is not an unprimeable number, because it can be changed into a prime (132300133429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34613509 + ... + 34617330.

It is an arithmetic number, because the mean of its divisors is an integer number (9207701720).

Almost surely, 2132300133329 is an apocalyptic number.

It is an amenable number.

132300133329 is a deficient number, since it is larger than the sum of its proper divisors (88684707951).

132300133329 is a wasteful number, since it uses less digits than its factorization.

132300133329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69230869 (or 69230862 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 30.

The spelling of 132300133329 in words is "one hundred thirty-two billion, three hundred million, one hundred thirty-three thousand, three hundred twenty-nine".

Divisors: 1 3 7 13 21 39 49 91 147 273 637 1911 69230839 207692517 484615873 900000907 1453847619 2700002721 3392311111 6300006349 10176933333 18900019047 44100044443 132300133329