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11020201221220 = 225171811198714939
BaseRepresentation
bin1010000001011101011100…
…1011011101110001100100
31110000112001202211001011221
42200113113023131301210
52421023333003034340
635234335513510124
72215116600552112
oct240272713356144
943015052731157
1011020201221220
113569706325464
12129b957112344
1361c27b6c2aa9
142a154847aab2
151419d9e2144a
hexa05d72ddc64

11020201221220 has 96 divisors (see below), whose sum is σ = 24642826266240. Its totient is φ = 4125239838720.

The previous prime is 11020201221217. The next prime is 11020201221221. The reversal of 11020201221220 is 2212210202011.

It is a happy number.

11020201221220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11020201221194 and 11020201221203.

It is not an unprimeable number, because it can be changed into a prime (11020201221221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 737672511 + ... + 737687449.

It is an arithmetic number, because the mean of its divisors is an integer number (256696106940).

Almost surely, 211020201221220 is an apocalyptic number.

11020201221220 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 11020201221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12321413133120).

11020201221220 is an abundant number, since it is smaller than the sum of its proper divisors (13622625045020).

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

11020201221220 is a wasteful number, since it uses less digits than its factorization.

11020201221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27133 (or 27131 counting only the distinct ones).

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

Adding to 11020201221220 its reverse (2212210202011), we get a palindrome (13232411423231).

The spelling of 11020201221220 in words is "eleven trillion, twenty billion, two hundred one million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 181 340 362 724 905 1810 3077 3620 6154 11987 12308 14939 15385 23974 29878 30770 47948 59756 59935 61540 74695 119870 149390 203779 239740 253963 298780 407558 507926 815116 1015852 1018895 1269815 2037790 2169647 2539630 2703959 4075580 4339294 5079260 5407918 8678588 10815836 10848235 13519795 21696470 27039590 36883999 43392940 45967303 54079180 73767998 91934606 147535996 179073793 183869212 184419995 229836515 358147586 368839990 459673030 716295172 737679980 895368965 919346060 1790737930 3044254481 3581475860 6088508962 12177017924 15221272405 30442544810 32412356533 60885089620 64824713066 129649426132 162061782665 324123565330 551010061061 648247130660 1102020122122 2204040244244 2755050305305 5510100610610 11020201221220