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132321232323132 = 223191818773656087
BaseRepresentation
bin11110000101100001110000…
…000011001000001000111100
3122100111210020012010221021020
4132011201300003020020330
5114320422340433320012
61145231311314304140
736604615326666666
oct3605416003101074
9570453205127236
10132321232323132
11391861350479a6
1212a108a8b88050
1358aaab9723768
14249654b9bb536
151046ea3c73a8c
hex7858700c823c

132321232323132 has 96 divisors (see below), whose sum is σ = 327167813306880. Its totient is φ = 41507398114560.

The previous prime is 132321232323079. The next prime is 132321232323143. The reversal of 132321232323132 is 231323232123231.

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 = 132321232323093 and 132321232323102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34363993 + ... + 38020079.

It is an arithmetic number, because the mean of its divisors is an integer number (3407998055280).

Almost surely, 2132321232323132 is an apocalyptic number.

132321232323132 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 132321232323132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163583906653440).

132321232323132 is an abundant number, since it is smaller than the sum of its proper divisors (194846580983748).

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

132321232323132 is a wasteful number, since it uses less digits than its factorization.

132321232323132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3657171 (or 3657169 counting only the distinct ones).

The product of its digits is 46656, while the sum is 33.

Adding to 132321232323132 its reverse (231323232123231), we get a palindrome (363644464446363).

The spelling of 132321232323132 in words is "one hundred thirty-two trillion, three hundred twenty-one billion, two hundred thirty-two million, three hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 181 228 362 543 724 877 1086 1754 2172 2631 3439 3508 5262 6878 10317 10524 13756 16663 20634 33326 41268 49989 66652 99978 158737 199956 317474 476211 634948 952422 1904844 3016003 3656087 6032006 7312174 9048009 10968261 12064012 14624348 18096018 21936522 36192036 43873044 69465653 138931306 208396959 277862612 416793918 661751747 833587836 1323503494 1985255241 2647006988 3206388299 3970510482 6412776598 7941020964 9619164897 12573283193 12825553196 19238329794 25146566386 37719849579 38476659588 50293132772 60921377681 75439699158 121842755362 150879398316 182764133043 243685510724 365528266086 580356282119 731056532172 1160712564238 1741068846357 2321425128476 3482137692714 6964275385428 11026769360261 22053538720522 33080308080783 44107077441044 66160616161566 132321232323132