Search a number
-
+
132305042220 = 223513237374863
BaseRepresentation
bin111101100110111111…
…1101011101100101100
3110122111120021112002220
41323031333223230230
54131430042322340
6140440300115340
712362433206031
oct1731577535454
9418446245086
10132305042220
11511238244aa
1221784835b50
13c6265c3a40
14659168b388
1536953cded0
hex1ecdfebb2c

132305042220 has 96 divisors (see below), whose sum is σ = 416296323072. Its totient is φ = 31151417088.

The previous prime is 132305042171. The next prime is 132305042227. The reversal of 132305042220 is 22240503231.

It is not an unprimeable number, because it can be changed into a prime (132305042227) 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, 3669492 + ... + 3705371.

It is an arithmetic number, because the mean of its divisors is an integer number (4336420032).

Almost surely, 2132305042220 is an apocalyptic number.

132305042220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132305042220 is an abundant number, since it is smaller than the sum of its proper divisors (283991280852).

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

132305042220 is a wasteful number, since it uses less digits than its factorization.

132305042220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7374911 (or 7374909 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 132305042220 its reverse (22240503231), we get a palindrome (154545545451).

The spelling of 132305042220 in words is "one hundred thirty-two billion, three hundred five million, forty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 23 26 30 39 46 52 60 65 69 78 92 115 130 138 156 195 230 260 276 299 345 390 460 598 690 780 897 1196 1380 1495 1794 2990 3588 4485 5980 8970 17940 7374863 14749726 22124589 29499452 36874315 44249178 73748630 88498356 95873219 110622945 147497260 169621849 191746438 221245890 287619657 339243698 383492876 442491780 479366095 508865547 575239314 678487396 848109245 958732190 1017731094 1150478628 1438098285 1696218490 1917464380 2035462188 2205084037 2544327735 2876196570 3392436980 4410168074 5088655470 5752393140 6615252111 8820336148 10177310940 11025420185 13230504222 22050840370 26461008444 33076260555 44101680740 66152521110 132305042220