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132232311330 = 23573157135573
BaseRepresentation
bin111101100100110101…
…0001111001000100010
3110122022111102102002020
41323021222033020202
54131302432430310
6140425141202310
712360561046440
oct1731152171042
9418274372066
10132232311330
1151096768729
1221764400396
13c61450a202
146585b57b90
15368dd14170
hex1ec9a8f222

132232311330 has 128 divisors (see below), whose sum is σ = 375060381696. Its totient is φ = 29197497600.

The previous prime is 132232311319. The next prime is 132232311359. The reversal of 132232311330 is 33113232231.

132232311330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 132232311330.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3699424 + ... + 3734996.

It is an arithmetic number, because the mean of its divisors is an integer number (2930159232).

Almost surely, 2132232311330 is an apocalyptic number.

132232311330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132232311330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187530190848).

132232311330 is an abundant number, since it is smaller than the sum of its proper divisors (242828070366).

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

132232311330 is a wasteful number, since it uses less digits than its factorization.

132232311330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36192.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 132232311330 its reverse (33113232231), we get a palindrome (165345543561).

The spelling of 132232311330 in words is "one hundred thirty-two billion, two hundred thirty-two million, three hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 93 105 155 186 210 217 310 434 465 571 651 930 1085 1142 1302 1713 2170 2855 3255 3426 3997 5710 6510 7994 8565 11991 17130 17701 19985 23982 35402 35573 39970 53103 59955 71146 88505 106206 106719 119910 123907 177010 177865 213438 247814 249011 265515 355730 371721 498022 531030 533595 619535 743442 747033 1067190 1102763 1239070 1245055 1494066 1858605 2205526 2490110 3308289 3717210 3735165 5513815 6616578 7470330 7719341 11027630 15438682 16541445 20312183 23158023 33082890 38596705 40624366 46316046 60936549 77193410 101560915 115790115 121873098 142185281 203121830 231580230 284370562 304682745 426555843 609365490 629677673 710926405 853111686 1259355346 1421852810 1889033019 2132779215 3148388365 3778066038 4265558430 4407743711 6296776730 8815487422 9445165095 13223231133 18890330190 22038718555 26446462266 44077437110 66116155665 132232311330