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132122331132 = 223112127716483
BaseRepresentation
bin111101100001100011…
…0101100011111111100
3110122000211110211121120
41323003012230133330
54131041304044012
6140410212030540
712355054166451
oct1730306543774
9418024424546
10132122331132
115103a67aa00
1221733602450
13c5c77b0b7c
1465752c9828
15368433c58c
hex1ec31ac7fc

132122331132 has 72 divisors (see below), whose sum is σ = 341527861248. Its totient is φ = 39721762080.

The previous prime is 132122331041. The next prime is 132122331151. The reversal of 132122331132 is 231133221231.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173838 + ... + 542645.

Almost surely, 2132122331132 is an apocalyptic number.

132122331132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132122331132 is an abundant number, since it is smaller than the sum of its proper divisors (209405530116).

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

132122331132 is a wasteful number, since it uses less digits than its factorization.

132122331132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716639 (or 716626 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 132122331132 its reverse (231133221231), we get a palindrome (363255552363).

The spelling of 132122331132 in words is "one hundred thirty-two billion, one hundred twenty-two million, three hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 127 132 242 254 363 381 484 508 726 762 1397 1452 1524 2794 4191 5588 8382 15367 16764 30734 46101 61468 92202 184404 716483 1432966 2149449 2865932 4298898 7881313 8597796 15762626 23643939 31525252 47287878 86694443 90993341 94575756 173388886 181986682 260083329 272980023 346777772 363973364 520166658 545960046 1000926751 1040333316 1091920092 2001853502 3002780253 4003707004 6005560506 11010194261 12011121012 22020388522 33030582783 44040777044 66061165566 132122331132