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211002102220 = 225713532187457
BaseRepresentation
bin1100010010000010110…
…1001001000111001100
3202011122002200101102211
43010200231021013030
511424113014232340
6240533311200204
721146554163530
oct3044055110714
9664562611384
10211002102220
1181538205468
1234a88216064
1316b88801630
14a2d937bbc0
15574e2cb5ea
hex3120b491cc

211002102220 has 96 divisors (see below), whose sum is σ = 555649331328. Its totient is φ = 65518682112.

The previous prime is 211002102151. The next prime is 211002102253. The reversal of 211002102220 is 22201200112.

It is a happy number.

211002102220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 211002102220.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 997269 + ... + 1190188.

It is an arithmetic number, because the mean of its divisors is an integer number (5788013868).

Almost surely, 2211002102220 is an apocalyptic number.

211002102220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211002102220 is an abundant number, since it is smaller than the sum of its proper divisors (344647229108).

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

211002102220 is a wasteful number, since it uses less digits than its factorization.

211002102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187539 (or 2187537 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 211002102220 its reverse (22201200112), we get a palindrome (233203302332).

The spelling of 211002102220 in words is "two hundred eleven billion, two million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 53 65 70 91 106 130 140 182 212 260 265 364 371 455 530 689 742 910 1060 1378 1484 1820 1855 2756 3445 3710 4823 6890 7420 9646 13780 19292 24115 48230 96460 2187457 4374914 8749828 10937285 15312199 21874570 28436941 30624398 43749140 56873882 61248796 76560995 113747764 115935221 142184705 153121990 199058587 231870442 284369410 306243980 398117174 463740884 568738820 579676105 796234348 811546547 995292935 1159352210 1507157873 1623093094 1990585870 2318704420 3014315746 3246186188 3981171740 4057732735 6028631492 7535789365 8115465470 10550105111 15071578730 16230930940 21100210222 30143157460 42200420444 52750525555 105501051110 211002102220