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132120013314300 = 223521147598412769
BaseRepresentation
bin11110000010100110010110…
…011101100001100011111100
3122022210112211220002012000120
4132002212112131201203330
5114304123241402024200
61144555032440454540
736554233044434244
oct3602462635414374
9568715756065016
10132120013314300
1139108868177390
12129998b117a450
135894b2c9b5bab
14248a8dda5cb24
151041b287ab9a0
hex7829967618fc

132120013314300 has 144 divisors (see below), whose sum is σ = 417106482643200. Its totient is φ = 32022360115200.

The previous prime is 132120013314293. The next prime is 132120013314347. The reversal of 132120013314300 is 3413310021231.

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, 11498316 + ... + 19911084.

Almost surely, 2132120013314300 is an apocalyptic number.

132120013314300 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 132120013314300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208553241321600).

132120013314300 is an abundant number, since it is smaller than the sum of its proper divisors (284986469328900).

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

132120013314300 is a wasteful number, since it uses less digits than its factorization.

132120013314300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8417556 (or 8417549 counting only the distinct ones).

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

Adding to 132120013314300 its reverse (3413310021231), we get a palindrome (135533323335531).

The spelling of 132120013314300 in words is "one hundred thirty-two trillion, one hundred twenty billion, thirteen million, three hundred fourteen 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 4759 9518 14277 19036 23795 28554 47590 52349 57108 71385 95180 104698 118975 142770 157047 209396 237950 261745 285540 314094 356925 475900 523490 628188 713850 785235 1046980 1308725 1427700 1570470 2617450 3140940 3926175 5234900 7852350 8412769 15704700 16825538 25238307 33651076 42063845 50476614 84127690 92540459 100953228 126191535 168255380 185080918 210319225 252383070 277621377 370161836 420638450 462702295 504766140 555242754 630957675 841276900 925404590 1110485508 1261915350 1388106885 1850809180 2313511475 2523830700 2776213770 4627022950 5552427540 6940534425 9254045900 13881068850 27762137700 40036367671 80072735342 120109103013 160145470684 200181838355 240218206026 400363676710 440400044381 480436412052 600545515065 800727353420 880800088762 1000909191775 1201091030130 1321200133143 1761600177524 2001818383550 2202000221905 2402182060260 2642400266286 3002727575325 4003636767100 4404000443810 5284800532572 6005455150650 6606000665715 8808000887620 11010001109525 12010910301300 13212001331430 22020002219050 26424002662860 33030003328575 44040004438100 66060006657150 132120013314300