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201222220000100 = 2252131919934087631
BaseRepresentation
bin101101110000001010110010…
…111100011010101101100100
3222101110122201111012010102112
4231300022302330122231210
5202333311101310000400
61551544113421500152
760245553124023125
oct5560126274325544
9871418644163375
10201222220000100
115912a956379392
121a69a26a411658
138838235166330
1437992c91da04c
15183e3b9863835
hexb702b2f1ab64

201222220000100 has 144 divisors (see below), whose sum is σ = 495238853518080. Its totient is φ = 70351709414400.

The previous prime is 201222220000057. The next prime is 201222220000103. The reversal of 201222220000100 is 1000022222102.

201222220000100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (201222220000103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47183285 + ... + 51270915.

Almost surely, 2201222220000100 is an apocalyptic number.

201222220000100 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 201222220000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247619426759040).

201222220000100 is an abundant number, since it is smaller than the sum of its proper divisors (294016633517980).

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

201222220000100 is a wasteful number, since it uses less digits than its factorization.

201222220000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4089670 (or 4089663 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 201222220000100 its reverse (1000022222102), we get a palindrome (202222242222202).

The spelling of 201222220000100 in words is "two hundred one trillion, two hundred twenty-two billion, two hundred twenty million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 13 19 20 25 26 38 50 52 65 76 95 100 130 190 247 260 325 380 475 494 650 950 988 1235 1300 1900 1993 2470 3986 4940 6175 7972 9965 12350 19930 24700 25909 37867 39860 49825 51818 75734 99650 103636 129545 151468 189335 199300 259090 378670 492271 518180 647725 757340 946675 984542 1295450 1893350 1969084 2461355 2590900 3786700 4087631 4922710 8175262 9845420 12306775 16350524 20438155 24613550 40876310 49227100 53139203 77664989 81752620 102190775 106278406 155329978 204381550 212556812 265696015 310659956 388324945 408763100 531392030 776649890 1009644857 1062784060 1328480075 1553299780 1941624725 2019289714 2656960150 3883249450 4038579428 5048224285 5313920300 7766498900 8146648583 10096448570 16293297166 20192897140 25241121425 32586594332 40733242915 50482242850 81466485830 100964485700 105906431579 154786323077 162932971660 203666214575 211812863158 309572646154 407332429150 423625726316 529532157895 619145292308 773931615385 814664858300 1059064315790 1547863230770 2012222200001 2118128631580 2647660789475 3095726461540 3869658076925 4024444400002 5295321578950 7739316153850 8048888800004 10061111000005 10590643157900 15478632307700 20122222000010 40244444000020 50305555000025 100611110000050 201222220000100