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132243135012 = 223259544111443
BaseRepresentation
bin111101100101001001…
…1100001101000100100
3110122100020210022101100
41323022103201220210
54131313220310022
6140430205200100
712361052046402
oct1731223415044
9418306708340
10132243135012
11510a189071a
1221767b60030
13c616829961
146587374472
15368ec511ac
hex1eca4e1a24

132243135012 has 72 divisors (see below), whose sum is σ = 340039234080. Its totient is φ = 43322158080.

The previous prime is 132243135007. The next prime is 132243135043. The reversal of 132243135012 is 210531342231.

132243135012 is a `hidden beast` number, since 132 + 24 + 3 + 1 + 3 + 501 + 2 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 11550963 + ... + 11562405.

It is an arithmetic number, because the mean of its divisors is an integer number (4722767140).

Almost surely, 2132243135012 is an apocalyptic number.

132243135012 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 132243135012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170019617040).

132243135012 is an abundant number, since it is smaller than the sum of its proper divisors (207796099068).

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

132243135012 is a wasteful number, since it uses less digits than its factorization.

132243135012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16953 (or 16948 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 132243135012 its reverse (210531342231), we get a palindrome (342774477243).

The spelling of 132243135012 in words is "one hundred thirty-two billion, two hundred forty-three million, one hundred thirty-five thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 2124 5441 10882 11443 16323 21764 22886 32646 34329 45772 48969 65292 68658 97938 102987 137316 195876 205974 321019 411948 642038 675137 963057 1284076 1350274 1926114 2025411 2700548 2889171 3852228 4050822 5778342 6076233 8101644 11556684 12152466 24304932 62261363 124522726 186784089 249045452 373568178 560352267 747136356 1120704534 2241409068 3673420417 7346840834 11020261251 14693681668 22040522502 33060783753 44081045004 66121567506 132243135012