Search a number
-
+
132033042141 = 371113411072367
BaseRepresentation
bin111101011110111001…
…0000101011011011101
3110121210121110111010220
41322331302011123131
54130400424322031
6140353302151553
712352621224630
oct1727562053335
9417717414126
10132033042141
1150aa4234850
12217097225b9
13c5b214a750
1465674c5c17
15367b5a1596
hex1ebdc856dd

132033042141 has 64 divisors (see below), whose sum is σ = 242132115456. Its totient is φ = 61768281600.

The previous prime is 132033042133. The next prime is 132033042191. The reversal of 132033042141 is 141240330231.

It is a happy number.

It is not a de Polignac number, because 132033042141 - 23 = 132033042133 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132033042191) 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 63 ways as a sum of consecutive naturals, for example, 413061 + ... + 659306.

It is an arithmetic number, because the mean of its divisors is an integer number (3783314304).

Almost surely, 2132033042141 is an apocalyptic number.

132033042141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132033042141 is a deficient number, since it is larger than the sum of its proper divisors (110099073315).

132033042141 is a wasteful number, since it uses less digits than its factorization.

132033042141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072442.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 132033042141 its reverse (141240330231), we get a palindrome (273273372372).

The spelling of 132033042141 in words is "one hundred thirty-two billion, thirty-three million, forty-two thousand, one hundred forty-one".

Divisors: 1 3 7 11 13 21 33 39 41 77 91 123 143 231 273 287 429 451 533 861 1001 1353 1599 3003 3157 3731 5863 9471 11193 17589 41041 123123 1072367 3217101 7506569 11796037 13940771 22519707 35388111 41822313 43967047 82572259 97585397 131901141 153348481 247716777 292756191 307769329 460045443 483637517 571571611 923307987 1073439367 1450912551 1714714833 3220318101 3385462619 4001001277 6287287721 10156387857 12003003831 18861863163 44011014047 132033042141