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132303321220 = 22572461292849
BaseRepresentation
bin111101100110111100…
…1000111100010000100
3110122111110001002100011
41323031321013202010
54131424122234340
6140440155200004
712362412450400
oct1731571074204
9418443032304
10132303321220
1151122859494
1221784146004
13c6261405b5
146591360100
15369518e0ea
hex1ecde47884

132303321220 has 72 divisors (see below), whose sum is σ = 323900299800. Its totient is φ = 45262586880.

The previous prime is 132303321203. The next prime is 132303321251. The reversal of 132303321220 is 22123303231.

It can be written as a sum of positive squares in 4 ways, for example, as 6885348484 + 125417972736 = 82978^2 + 354144^2 .

It is a junction number, because it is equal to n+sod(n) for n = 132303321191 and 132303321200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305356 + ... + 598204.

It is an arithmetic number, because the mean of its divisors is an integer number (4498615275).

Almost surely, 2132303321220 is an apocalyptic number.

132303321220 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 132303321220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161950149900).

132303321220 is an abundant number, since it is smaller than the sum of its proper divisors (191596978580).

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

132303321220 is a wasteful number, since it uses less digits than its factorization.

132303321220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293333 (or 293324 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 132303321220 its reverse (22123303231), we get a palindrome (154426624451).

The spelling of 132303321220 in words is "one hundred thirty-two billion, three hundred three million, three hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 461 490 922 980 1844 2305 3227 4610 6454 9220 12908 16135 22589 32270 45178 64540 90356 112945 225890 292849 451780 585698 1171396 1464245 2049943 2928490 4099886 5856980 8199772 10249715 14349601 20499430 28699202 40998860 57398404 71748005 135003389 143496010 270006778 286992020 540013556 675016945 945023723 1350033890 1890047446 2700067780 3780094892 4725118615 6615166061 9450237230 13230332122 18900474460 26460664244 33075830305 66151660610 132303321220