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132212213220330 = 2345197859796377
BaseRepresentation
bin11110000011111100001110…
…000000010000001111101010
3122100010100211110110200220000
4132003330032000100033222
5114312131103041022310
61145105241404443430
736564005615626065
oct3603741600201752
9570110743420800
10132212213220330
1139143980663431
12129b3742849576
1358a0734505ac9
142491168bb18dc
151044222d374c0
hex783f0e0103ea

132212213220330 has 160 divisors (see below), whose sum is σ = 357353809526736. Its totient is φ = 35073178592256.

The previous prime is 132212213220317. The next prime is 132212213220349. The reversal of 132212213220330 is 33022312212231.

132212213220330 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 1 + 2 + 2 + 1 + 322 + 0 + 330 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 122037114855681 + 10175098364649 = 11047041^2 + 3189843^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 132212213220294 and 132212213220303.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1371775102 + ... + 1371871478.

Almost surely, 2132212213220330 is an apocalyptic number.

132212213220330 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 132212213220330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178676904763368).

132212213220330 is an abundant number, since it is smaller than the sum of its proper divisors (225141596306406).

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

132212213220330 is a wasteful number, since it uses less digits than its factorization.

132212213220330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105190 (or 105181 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 132212213220330 its reverse (33022312212231), we get a palindrome (165234525432561).

The spelling of 132212213220330 in words is "one hundred thirty-two trillion, two hundred twelve billion, two hundred thirteen million, two hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 197 270 394 405 591 810 985 1182 1773 1970 2955 3546 5319 5910 8597 8865 10638 15957 17194 17730 25791 26595 31914 42985 51582 53190 77373 79785 85970 96377 128955 154746 159570 192754 232119 257910 289131 386865 464238 481885 578262 696357 773730 867393 963770 1160595 1392714 1445655 1693609 1734786 2321190 2602179 2891310 3387218 3481785 4336965 5080827 5204358 6963570 7806537 8468045 8673930 10161654 13010895 15242481 15613074 16936090 18986269 25404135 26021790 30484962 37972538 39032685 45727443 50808270 56958807 76212405 78065370 91454886 94931345 113917614 137182329 152424810 170876421 189862690 228637215 274364658 284794035 341752842 457274430 512629263 569588070 685911645 828553069 854382105 1025258526 1371823290 1537887789 1657106138 1708764210 2485659207 2563146315 3075775578 4142765345 4971318414 5126292630 7456977621 7689438945 8285530690 12428296035 14913955242 15378877890 22370932863 24856592070 37284888105 44741865726 67112798589 74569776210 111854664315 134225597178 163224954593 223709328630 326449909186 335563992945 489674863779 671127985890 816124772965 979349727558 1469024591337 1632249545930 2448374318895 2938049182674 4407073774011 4896748637790 7345122956685 8814147548022 13221221322033 14690245913370 22035368870055 26442442644066 44070737740110 66106106610165 132212213220330