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132303144220 = 225131953505321
BaseRepresentation
bin111101100110111100…
…0011100010100011100
3110122111102201002112121
41323031320130110130
54131424101103340
6140440151312324
712362411112352
oct1731570342434
9418442632477
10132303144220
1151122748505
122178407b6a4
13c6260aab70
1465913157d2
15369515694a
hex1ecde1c51c

132303144220 has 96 divisors (see below), whose sum is σ = 320899682880. Its totient is φ = 45406033920.

The previous prime is 132303144203. The next prime is 132303144263. The reversal of 132303144220 is 22441303231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9160 + ... + 514480.

It is an arithmetic number, because the mean of its divisors is an integer number (3342705030).

Almost surely, 2132303144220 is an apocalyptic number.

132303144220 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 132303144220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160449841440).

132303144220 is an abundant number, since it is smaller than the sum of its proper divisors (188596538660).

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

132303144220 is a wasteful number, since it uses less digits than its factorization.

132303144220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505415 (or 505413 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 132303144220 its reverse (22441303231), we get a palindrome (154744447451).

The spelling of 132303144220 in words is "one hundred thirty-two billion, three hundred three million, one hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 53 65 76 95 106 130 190 212 247 260 265 380 494 530 689 988 1007 1060 1235 1378 2014 2470 2756 3445 4028 4940 5035 6890 10070 13091 13780 20140 26182 52364 65455 130910 261820 505321 1010642 2021284 2526605 5053210 6569173 9601099 10106420 13138346 19202198 26276692 26782013 32845865 38404396 48005495 53564026 65691730 96010990 107128052 124814287 131383460 133910065 192021980 249628574 267820130 348166169 499257148 508858247 535640260 624071435 696332338 1017716494 1248142870 1392664676 1740830845 2035432988 2496285740 2544291235 3481661690 5088582470 6615157211 6963323380 10177164940 13230314422 26460628844 33075786055 66151572110 132303144220