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132133133232 = 24321317004513
BaseRepresentation
bin111101100001110111…
…1111001101110110000
3110122001120210122022100
41323003233321232300
54131102040230412
6140411235340400
712355245046452
oct1730357715660
9418046718270
10132133133232
1151045788761
1221737151700
13c5c9ac3849
1465768dc2d2
153685272edc
hex1ec3bf9bb0

132133133232 has 60 divisors (see below), whose sum is σ = 372612126744. Its totient is φ = 43708154880.

The previous prime is 132133133221. The next prime is 132133133257. The reversal of 132133133232 is 232331331231.

132133133232 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 331 + 3 + 323 + 2 = 666.

132133133232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 132133133196 and 132133133205.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3483393 + ... + 3521120.

Almost surely, 2132133133232 is an apocalyptic number.

132133133232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132133133232 is an abundant number, since it is smaller than the sum of its proper divisors (240478993512).

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

132133133232 is a wasteful number, since it uses less digits than its factorization.

132133133232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7004658 (or 7004649 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 132133133232 its reverse (232331331231), we get a palindrome (364464464463).

The spelling of 132133133232 in words is "one hundred thirty-two billion, one hundred thirty-three million, one hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 131 144 262 393 524 786 1048 1179 1572 2096 2358 3144 4716 6288 9432 18864 7004513 14009026 21013539 28018052 42027078 56036104 63040617 84054156 112072208 126081234 168108312 252162468 336216624 504324936 917591203 1008649872 1835182406 2752773609 3670364812 5505547218 7340729624 8258320827 11011094436 14681459248 16516641654 22022188872 33033283308 44044377744 66066566616 132133133232