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132212111022300 = 223523721535532281
BaseRepresentation
bin11110000011111100000111…
…111010011001100011011100
3122100010100120100011111112210
4132003330013322121203130
5114312130400410203200
61145105223314200420
736564003235150461
oct3603740772314334
9570110510144483
10132212111022300
1139143928a00551
12129b3714583110
1358a07192a29ba
1424911593ab668
151044218d9b650
hex783f07e998dc

132212111022300 has 144 divisors (see below), whose sum is σ = 393055004557152. Its totient is φ = 34287743692800.

The previous prime is 132212111022259. The next prime is 132212111022323. The reversal of 132212111022300 is 3220111212231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21132160 + ... + 26664440.

It is an arithmetic number, because the mean of its divisors is an integer number (2729548642758).

Almost surely, 2132212111022300 is an apocalyptic number.

132212111022300 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 132212111022300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196527502278576).

132212111022300 is an abundant number, since it is smaller than the sum of its proper divisors (260842893534852).

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

132212111022300 is a wasteful number, since it uses less digits than its factorization.

132212111022300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5534488 (or 5534481 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 132212111022300 its reverse (3220111212231), we get a palindrome (135432222234531).

The spelling of 132212111022300 in words is "one hundred thirty-two trillion, two hundred twelve billion, one hundred eleven million, twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2153 2220 2775 3700 4306 5550 6459 8612 10765 11100 12918 21530 25836 32295 43060 53825 64590 79661 107650 129180 159322 161475 215300 238983 318644 322950 398305 477966 645900 796610 955932 1194915 1593220 1991525 2389830 3983050 4779660 5532281 5974575 7966100 11064562 11949150 16596843 22129124 23898300 27661405 33193686 55322810 66387372 82984215 110645620 138307025 165968430 204694397 276614050 331936860 409388794 414921075 553228100 614083191 818777588 829842150 1023471985 1228166382 1659684300 2046943970 2456332764 3070415955 4093887940 5117359925 6140831910 10234719850 11911000993 12281663820 15352079775 20469439700 23822001986 30704159550 35733002979 47644003972 59555004965 61408319100 71466005958 119110009930 142932011916 178665014895 238220019860 297775024825 357330029790 440707036741 595550049650 714660059580 881414073482 893325074475 1191100099300 1322121110223 1762828146964 1786650148950 2203535183705 2644242220446 3573300297900 4407070367410 5288484440892 6610605551115 8814140734820 11017675918525 13221211102230 22035351837050 26442422204460 33053027755575 44070703674100 66106055511150 132212111022300