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220132231121200 = 245219313687208333
BaseRepresentation
bin110010000011010110000111…
…011100001000100100110000
31001212102102202200021111202111
4302003112013130020210300
5212323121302131334300
62100103203443255104
764240012620331336
oct6203260734104460
91055372680244674
10220132231121200
11641606116a5932
122083312697a494
1395aa4c37541a8
143c506577a9b56
151a6b227aa19ba
hexc83587708930

220132231121200 has 120 divisors (see below), whose sum is σ = 531649324605728. Its totient is φ = 87589839421440.

The previous prime is 220132231121177. The next prime is 220132231121251. The reversal of 220132231121200 is 2121132231022.

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 23 ways as a sum of consecutive naturals, for example, 1056532234 + ... + 1056740566.

Almost surely, 2220132231121200 is an apocalyptic number.

220132231121200 is a gapful number since it is divisible by the number (20) 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 220132231121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265824662302864).

220132231121200 is an abundant number, since it is smaller than the sum of its proper divisors (311517093484528).

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

220132231121200 is a wasteful number, since it uses less digits than its factorization.

220132231121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222231 (or 222220 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 220132231121200 its reverse (2121132231022), we get a palindrome (222253363352222).

The spelling of 220132231121200 in words is "two hundred twenty trillion, one hundred thirty-two billion, two hundred thirty-one million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 193 200 386 400 772 965 1544 1930 3088 3860 4825 7720 9650 13687 15440 19300 27374 38600 54748 68435 77200 109496 136870 208333 218992 273740 342175 416666 547480 684350 833332 1041665 1094960 1368700 1666664 2083330 2641591 2737400 3333328 4166660 5208325 5283182 5474800 8333320 10416650 10566364 13207955 16666640 20833300 21132728 26415910 40208269 41666600 42265456 52831820 66039775 80416538 83333200 105663640 132079550 160833076 201041345 211327280 264159100 321666152 402082690 528318200 643332304 804165380 1005206725 1056636400 1608330760 2010413450 2851453771 3216661520 4020826900 5702907542 8041653800 11405815084 14257268855 16083307600 22811630168 28514537710 45623260336 57029075420 71286344275 114058150840 142572688550 228116301680 285145377100 550330577803 570290754200 1100661155606 1140581508400 2201322311212 2751652889015 4402644622424 5503305778030 8805289244848 11006611556060 13758264445075 22013223112120 27516528890150 44026446224240 55033057780300 110066115560600 220132231121200