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132032020312212 = 223294312613699541
BaseRepresentation
bin11110000001010100011001…
…101010110111000010010100
3122022111010201111201112110020
4132001110121222313002110
5114301203034144442322
61144450401153225140
736544666355316456
oct3601243152670224
9568433644645406
10132032020312212
1139084513442559
12129848345621b0
13588974891b257
14248655351c2d6
15103e6c872605c
hex781519ab7094

132032020312212 has 96 divisors (see below), whose sum is σ = 326135882244480. Its totient is φ = 41501503249920.

The previous prime is 132032020312121. The next prime is 132032020312219. The reversal of 132032020312212 is 212213020230231.

It is a super-3 number, since 3×1320320203122123 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132032020312219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188391162 + ... + 189090702.

It is an arithmetic number, because the mean of its divisors is an integer number (3397248773380).

Almost surely, 2132032020312212 is an apocalyptic number.

132032020312212 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 132032020312212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163067941122240).

132032020312212 is an abundant number, since it is smaller than the sum of its proper divisors (194103861932268).

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

132032020312212 is a wasteful number, since it uses less digits than its factorization.

132032020312212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712233 (or 712231 counting only the distinct ones).

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

Adding to 132032020312212 its reverse (212213020230231), we get a palindrome (344245040542443).

The spelling of 132032020312212 in words is "one hundred thirty-two trillion, thirty-two billion, twenty million, three hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 29 43 58 86 87 116 129 172 174 258 348 516 1247 2494 3741 4988 7482 12613 14964 25226 37839 50452 75678 151356 365777 542359 699541 731554 1084718 1097331 1399082 1463108 1627077 2098623 2169436 2194662 2798164 3254154 4197246 4389324 6508308 8394492 15728411 20286689 30080263 31456822 40573378 47185233 60160526 60860067 62913644 81146756 90240789 94370466 120321052 121720134 180481578 188740932 243440268 360963156 872327627 1744655254 2616982881 3489310508 5233965762 8823310633 10467931524 17646621266 26469931899 35293242532 52939863798 105879727596 255876008357 379402357219 511752016714 758804714438 767628025071 1023504033428 1138207071657 1517609428876 1535256050142 2276414143314 3070512100284 4552828286628 11002668359351 22005336718702 33008005078053 44010673437404 66016010156106 132032020312212