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132320221320 = 2335733214777
BaseRepresentation
bin111101100111011100…
…1100101100010001000
3110122112121211200220210
41323032321211202020
54131442434040240
6140442001321120
712363006216000
oct1731671454210
9418477750823
10132320221320
1151131351811
12217899361a0
13c6297a9a61
1465936bd000
1536968cb780
hex1ecee65888

132320221320 has 128 divisors (see below), whose sum is σ = 462928032000. Its totient is φ = 30244612608.

The previous prime is 132320221309. The next prime is 132320221349. The reversal of 132320221320 is 23122023231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 31 ways as a sum of consecutive naturals, for example, 1566229 + ... + 1648548.

It is an arithmetic number, because the mean of its divisors is an integer number (3616625250).

Almost surely, 2132320221320 is an apocalyptic number.

132320221320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132320221320 is an abundant number, since it is smaller than the sum of its proper divisors (330607810680).

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

132320221320 is a wasteful number, since it uses less digits than its factorization.

132320221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3214812 (or 3214794 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 132320221320 its reverse (23122023231), we get a palindrome (155442244551).

The spelling of 132320221320 in words is "one hundred thirty-two billion, three hundred twenty million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 343 392 420 490 588 686 735 840 980 1029 1176 1372 1470 1715 1960 2058 2744 2940 3430 4116 5145 5880 6860 8232 10290 13720 20580 41160 3214777 6429554 9644331 12859108 16073885 19288662 22503439 25718216 32147770 38577324 45006878 48221655 64295540 67510317 77154648 90013756 96443310 112517195 128591080 135020634 157524073 180027512 192886620 225034390 270041268 315048146 337551585 385773240 450068780 472572219 540082536 630096292 675103170 787620365 900137560 945144438 1102668511 1260192584 1350206340 1575240730 1890288876 2205337022 2362861095 2700412680 3150481460 3308005533 3780577752 4410674044 4725722190 5513342555 6300962920 6616011066 8821348088 9451444380 11026685110 13232022132 16540027665 18902888760 22053370220 26464044264 33080055330 44106740440 66160110660 132320221320