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220201212201100 = 2252131291867715121
BaseRepresentation
bin110010000100010110010111…
…000010000100100010001100
31001212200000211002100110000121
4302010112113002010202030
5212330234040310413400
62100155012415234324
764245004212666424
oct6204262702044214
91055600732313017
10220201212201100
116418789a721179
12208445785189a4
1395b3b67a68930
143c53b1cd4b484
151a6ce139e521a
hexc8459708488c

220201212201100 has 144 divisors (see below), whose sum is σ = 515085308256736. Its totient is φ = 81227349504000.

The previous prime is 220201212201031. The next prime is 220201212201121. The reversal of 220201212201100 is 1102212102022.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14562601540 + ... + 14562616660.

Almost surely, 2220201212201100 is an apocalyptic number.

220201212201100 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 220201212201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257542654128368).

220201212201100 is an abundant number, since it is smaller than the sum of its proper divisors (294884096055636).

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

220201212201100 is a wasteful number, since it uses less digits than its factorization.

220201212201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25116 (or 25109 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 220201212201100 its reverse (1102212102022), we get a palindrome (221303424303122).

The spelling of 220201212201100 in words is "two hundred twenty trillion, two hundred one billion, two hundred twelve million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1291 1300 2582 5164 6455 8677 12910 15121 16783 17354 25820 30242 32275 33566 34708 43385 60484 64550 67132 75605 83915 86770 112801 129100 151210 167830 173540 196573 216925 225602 302420 335660 378025 393146 419575 433850 451204 564005 756050 786292 839150 867700 982865 1128010 1512100 1678300 1965730 2256020 2820025 3931460 4914325 5640050 9828650 11202007 11280100 19521211 19657300 22404014 39042422 44808028 56010035 78084844 97606055 112020070 131204917 145626091 195212110 224040140 253775743 262409834 280050175 291252182 390424220 488030275 507551486 524819668 560100350 582504364 656024585 728130455 976060550 1015102972 1120200700 1268878715 1312049170 1456260910 1705663921 1952121100 2537757430 2624098340 2912521820 3280122925 3411327842 3640652275 5075514860 6344393575 6560245850 6822655684 7281304550 8528319605 12688787150 13120491700 14562609100 17056639210 25377574300 34113278420 42641598025 85283196050 169385547847 170566392100 338771095694 677542191388 846927739235 1693855478470 2202012122011 3387710956940 4234638696175 4404024244022 8469277392350 8808048488044 11010060610055 16938554784700 22020121220110 44040242440220 55050303050275 110100606100550 220201212201100