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1211211211100 = 22521117471378099
BaseRepresentation
bin10001101000000001110…
…100000110000101011100
311021210100101120122101012
4101220001310012011130
5124321030032223400
62324231151434352
7153335641265462
oct21500164060534
94253311518335
101211211211100
11427743174a10
121768a82259b8
138a2a81c3527
14428a1498832
152178e09ad35
hex11a01d0615c

1211211211100 has 144 divisors (see below), whose sum is σ = 3100526553600. Its totient is φ = 405712051200.

The previous prime is 1211211211097. The next prime is 1211211211129. The reversal of 1211211211100 is 11121121121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189851 + ... + 1567949.

It is an arithmetic number, because the mean of its divisors is an integer number (21531434400).

Almost surely, 21211211211100 is an apocalyptic number.

1211211211100 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 1211211211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550263276800).

1211211211100 is an abundant number, since it is smaller than the sum of its proper divisors (1889315342500).

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

1211211211100 is a wasteful number, since it uses less digits than its factorization.

1211211211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378188 (or 1378181 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1211211211100 its reverse (11121121121), we get a palindrome (1222332332221).

The spelling of 1211211211100 in words is "one trillion, two hundred eleven billion, two hundred eleven million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 47 50 55 68 85 94 100 110 170 187 188 220 235 275 340 374 425 470 517 550 748 799 850 935 940 1034 1100 1175 1598 1700 1870 2068 2350 2585 3196 3740 3995 4675 4700 5170 7990 8789 9350 10340 12925 15980 17578 18700 19975 25850 35156 39950 43945 51700 79900 87890 175780 219725 439450 878900 1378099 2756198 5512396 6890495 13780990 15159089 23427683 27561980 30318178 34452475 46855366 60636356 64770653 68904950 75795445 93710732 117138415 129541306 137809900 151590890 234276830 257704513 259082612 303181780 323853265 378977225 468553660 515409026 585692075 647706530 712477183 757954450 1030818052 1101101101 1171384150 1288522565 1295413060 1424954366 1515908900 1619266325 2202202202 2342768300 2577045130 2849908732 3238532650 3562385915 4404404404 5154090260 5505505505 6442612825 6477065300 7124771830 11011011010 12112112111 12885225650 14249543660 17811929575 22022022020 24224224222 25770451300 27527527525 35623859150 48448448444 55055055050 60560560555 71247718300 110110110100 121121121110 242242242220 302802802775 605605605550 1211211211100