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132032031201 = 32723533672311
BaseRepresentation
bin111101011110110111…
…0001110100111100001
3110121210112120010101200
41322331232032213201
54130400144444301
6140353224351413
712352606514400
oct1727556164741
9417715503350
10132032031201
1150aa3704264
1221709315569
13c5b1b85565
146567301637
15367b451c86
hex1ebdb8e9e1

132032031201 has 72 divisors (see below), whose sum is σ = 223180948224. Its totient is φ = 74995683840.

The previous prime is 132032031199. The next prime is 132032031283. The reversal of 132032031201 is 102130230231.

132032031201 is a `hidden beast` number, since 1 + 32 + 0 + 320 + 312 + 0 + 1 = 666.

It is not a de Polignac number, because 132032031201 - 21 = 132032031199 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (132032031701) 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 71 ways as a sum of consecutive naturals, for example, 57130836 + ... + 57133146.

It is an arithmetic number, because the mean of its divisors is an integer number (3099735392).

Almost surely, 2132032031201 is an apocalyptic number.

It is an amenable number.

132032031201 is a deficient number, since it is larger than the sum of its proper divisors (91148917023).

132032031201 is a wasteful number, since it uses less digits than its factorization.

132032031201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3051 (or 3041 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 132032031201 its reverse (102130230231), we get a palindrome (234162261432).

The spelling of 132032031201 in words is "one hundred thirty-two billion, thirty-two million, thirty-one thousand, two hundred one".

Divisors: 1 3 7 9 21 49 63 147 353 367 441 1059 1101 2311 2471 2569 3177 3303 6933 7413 7707 16177 17297 17983 20799 22239 23121 48531 51891 53949 113239 129551 145593 155673 161847 339717 388653 815783 848137 906857 1019151 1165959 2447349 2544411 2720571 5710481 5936959 6347999 7342047 7633233 8161713 17131443 17810877 19043997 39973367 41558713 51394329 53432631 57131991 119920101 124676139 299392361 359760303 374028417 898177083 2095746527 2694531249 6287239581 14670225689 18861718743 44010677067 132032031201