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132212121330300 = 2235211382611047131
BaseRepresentation
bin11110000011111100001000…
…100001101110001001111100
3122100010100121001120012110120
4132003330020201232021330
5114312130411030032200
61145105224323134540
736564003421602114
oct3603741041561174
9570110531505416
10132212121330300
1139143933801060
12129b3717b14450
1358a071b4717cb
14249115a8d2044
151044219c359a0
hex783f0886e27c

132212121330300 has 144 divisors (see below), whose sum is σ = 417320837506944. Its totient is φ = 32050555040000.

The previous prime is 132212121330257. The next prime is 132212121330347. The reversal of 132212121330300 is 3033121212231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125737735 + ... + 126784865.

It is an arithmetic number, because the mean of its divisors is an integer number (2898061371576).

Almost surely, 2132212121330300 is an apocalyptic number.

132212121330300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132212121330300 is an abundant number, since it is smaller than the sum of its proper divisors (285108716176644).

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

132212121330300 is a wasteful number, since it uses less digits than its factorization.

132212121330300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085420 (or 1085413 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 132212121330300 its reverse (3033121212231), we get a palindrome (135245242542531).

The spelling of 132212121330300 in words is "one hundred thirty-two trillion, two hundred twelve billion, one hundred twenty-one million, three hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 38261 76522 114783 153044 191305 229566 382610 420871 459132 573915 765220 841742 956525 1047131 1147830 1262613 1683484 1913050 2094262 2104355 2295660 2525226 2869575 3141393 3826100 4188524 4208710 5050452 5235655 5739150 6282786 6313065 8417420 10471310 10521775 11478300 11518441 12565572 12626130 15706965 20942620 21043550 23036882 25252260 26178275 31413930 31565325 34555323 42087100 46073764 52356550 57592205 62827860 63130650 69110646 78534825 104713100 115184410 126261300 138221292 157069650 172776615 230368820 287961025 314139300 345553230 575922050 691106460 863883075 1151844100 1727766150 3455532300 40064279191 80128558382 120192837573 160257116764 200321395955 240385675146 400642791910 440707071101 480771350292 600964187865 801285583820 881414142202 1001606979775 1201928375730 1322121213303 1762828284404 2003213959550 2203535355505 2403856751460 2644242426606 3004820939325 4006427919100 4407070711010 5288484853212 6009641878650 6610606066515 8814141422020 11017676777525 12019283757300 13221212133030 22035353555050 26442424266060 33053030332575 44070707110100 66106060665150 132212121330300