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132320131122300 = 2235211200320018477
BaseRepresentation
bin11110000101100000101110…
…011010011000010001111100
3122100111200101110001010201020
4132011200232122120101330
5114320413112031403200
61145231010135544140
736604546125642642
oct3605405632302174
9570450343033636
10132320131122300
113918571a492470
1212a1064022b050
1358aa972542334
142496485649192
151046e3c251ea0
hex78582e69847c

132320131122300 has 144 divisors (see below), whose sum is σ = 417858983563392. Its totient is φ = 32061591161600.

The previous prime is 132320131122299. The next prime is 132320131122341. The reversal of 132320131122300 is 3221131023231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3399339 + ... + 16619138.

It is an arithmetic number, because the mean of its divisors is an integer number (2901798496968).

Almost surely, 2132320131122300 is an apocalyptic number.

132320131122300 is a gapful number since it is divisible by the number (10) 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 132320131122300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208929491781696).

132320131122300 is an abundant number, since it is smaller than the sum of its proper divisors (285538852441092).

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

132320131122300 is a wasteful number, since it uses less digits than its factorization.

132320131122300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20020508 (or 20020501 counting only the distinct ones).

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

Adding to 132320131122300 its reverse (3221131023231), we get a palindrome (135541262145531).

The spelling of 132320131122300 in words is "one hundred thirty-two trillion, three hundred twenty billion, one hundred thirty-one million, one hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 2003 3300 4006 6009 8012 10015 12018 20030 22033 24036 30045 40060 44066 50075 60090 66099 88132 100150 110165 120180 132198 150225 200300 220330 264396 300450 330495 440660 550825 600900 660990 1101650 1321980 1652475 2203300 3304950 6609900 20018477 40036954 60055431 80073908 100092385 120110862 200184770 220203247 240221724 300277155 400369540 440406494 500461925 600554310 660609741 880812988 1000923850 1101016235 1201108620 1321219482 1501385775 2001847700 2202032470 2642438964 3002771550 3303048705 4404064940 5505081175 6005543100 6606097410 11010162350 13212194820 16515243525 22020324700 33030487050 40097009431 66060974100 80194018862 120291028293 160388037724 200485047155 240582056586 400970094310 441067103741 481164113172 601455141465 801940188620 882134207482 1002425235775 1202910282930 1323201311223 1764268414964 2004850471550 2205335518705 2405820565860 2646402622446 3007275707325 4009700943100 4410671037410 5292805244892 6014551414650 6616006556115 8821342074820 11026677593525 12029102829300 13232013112230 22053355187050 26464026224460 33080032780575 44106710374100 66160065561150 132320131122300