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11011221211221 = 337311108089851
BaseRepresentation
bin1010000000111011111111…
…1011011100100001010101
31102222122212221100021022000
42200032333323130201111
52420401440112224341
635230252445025513
72214351216666000
oct240167773344125
942878787307260
1011011221211221
113565918347aa0
12129a06b855299
1361b47a1214ca
142a0d3598a537
151416618928b6
hexa03bfedc855

11011221211221 has 64 divisors (see below), whose sum is σ = 20753251584000. Its totient is φ = 5720114862000.

The previous prime is 11011221211219. The next prime is 11011221211229. The reversal of 11011221211221 is 12211212211011.

It is a happy number.

11011221211221 is a `hidden beast` number, since 1 + 1 + 0 + 11 + 221 + 211 + 221 = 666.

It is not a de Polignac number, because 11011221211221 - 21 = 11011221211219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11011221211194 and 11011221211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011221211229) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53943055 + ... + 54146796.

It is an arithmetic number, because the mean of its divisors is an integer number (324269556000).

Almost surely, 211011221211221 is an apocalyptic number.

11011221211221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11011221211221 is a deficient number, since it is larger than the sum of its proper divisors (9742030372779).

11011221211221 is a wasteful number, since it uses less digits than its factorization.

11011221211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108089892 (or 108089872 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 11011221211221 its reverse (12211212211011), we get a palindrome (23222433422232).

The spelling of 11011221211221 in words is "eleven trillion, eleven billion, two hundred twenty-one million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 99 147 189 231 297 343 441 539 693 1029 1323 1617 2079 3087 3773 4851 9261 11319 14553 33957 101871 108089851 324269553 756628957 972808659 1188988361 2269886871 2918425977 3566965083 5296402699 6809660613 8322918527 10700895249 15889208097 20428981839 24968755581 32102685747 37074818893 47667624291 58260429689 74906266743 111224456679 143002872873 174781289067 224718800229 333673370037 407823007823 524343867201 1001020110111 1223469023469 1573031601603 3670407070407 11011221211221