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11212211100220 = 22513223413517733
BaseRepresentation
bin1010001100101000101111…
…0111000001101000111100
31110200212200021021112012221
42203022023313001220330
52432200102020201340
635502452455535124
72235025020602524
oct243121367015074
943625607245187
1011212211100220
113633087956479
12131100298a4a4
136343cb54a600
142aa961306684
151469c6b9c44a
hexa328bdc1a3c

11212211100220 has 144 divisors (see below), whose sum is σ = 27253601952192. Its totient is φ = 3863313991680.

The previous prime is 11212211100143. The next prime is 11212211100227. The reversal of 11212211100220 is 2200111221211.

It is a junction number, because it is equal to n+sod(n) for n = 11212211100194 and 11212211100203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11212211100227) 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, 1428474 + ... + 4946206.

It is an arithmetic number, because the mean of its divisors is an integer number (189261124668).

Almost surely, 211212211100220 is an apocalyptic number.

11212211100220 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 11212211100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13626800976096).

11212211100220 is an abundant number, since it is smaller than the sum of its proper divisors (16041390851972).

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

11212211100220 is a wasteful number, since it uses less digits than its factorization.

11212211100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3517832 (or 3517817 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11212211100220 its reverse (2200111221211), we get a palindrome (13412322321431).

The spelling of 11212211100220 in words is "eleven trillion, two hundred twelve billion, two hundred eleven million, one hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 23 26 41 46 52 65 82 92 115 130 164 169 205 230 260 299 338 410 460 533 598 676 820 845 943 1066 1196 1495 1690 1886 2132 2665 2990 3380 3772 3887 4715 5330 5980 6929 7774 9430 10660 12259 13858 15548 18860 19435 24518 27716 34645 38870 49036 61295 69290 77740 122590 138580 159367 245180 318734 637468 796835 1593670 3187340 3517733 7035466 14070932 17588665 35177330 45730529 70354660 80907859 91461058 144227053 161815718 182922116 228652645 288454106 323631436 404539295 457305290 576908212 594496877 721135265 809078590 914610580 1051802167 1188993754 1442270530 1618157180 1874951689 2103604334 2377987508 2884541060 2972484385 3317222219 3749903378 4207208668 5259010835 5944968770 6634444438 7499806756 9374758445 10518021670 11889937540 13268888876 13673428171 16586111095 18749516890 21036043340 24374371957 27346856342 33172222190 37499033780 43123888847 48748743914 54693712684 66344444380 68367140855 86247777694 97497487828 121871859785 136734281710 172495555388 215619444235 243743719570 273468563420 431238888470 487487439140 560610555011 862477776940 1121221110022 2242442220044 2803052775055 5606105550110 11212211100220