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11001111022111 = 73192137364709
BaseRepresentation
bin1010000000010110010101…
…0100001000101000011111
31102221200210100020110010111
42200011211110020220133
52420220233410201421
635221501324350451
72213542533544000
oct240054524105037
942850710213114
1011001111022111
1135615aa412301
1212981099a5427
1361a5286638a2
142a0656d431a7
1514126debaee1
hexa0165508a1f

11001111022111 has 48 divisors (see below), whose sum is σ = 13550118696000. Its totient is φ = 8926588698048.

The previous prime is 11001111022093. The next prime is 11001111022133. The reversal of 11001111022111 is 11122011110011.

It is not a de Polignac number, because 11001111022111 - 221 = 11001108924959 is a prime.

It is a super-2 number, since 2×110011110221112 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11001111022091 and 11001111022100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001111022511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169976625 + ... + 170041333.

It is an arithmetic number, because the mean of its divisors is an integer number (282294139500).

Almost surely, 211001111022111 is an apocalyptic number.

11001111022111 is a deficient number, since it is larger than the sum of its proper divisors (2549007673889).

11001111022111 is an equidigital number, since it uses as much as digits as its factorization.

11001111022111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66141 (or 66108 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 11001111022111 its reverse (11122011110011), we get a palindrome (22123122132122).

The spelling of 11001111022111 in words is "eleven trillion, one billion, one hundred eleven million, twenty-two thousand, one hundred eleven".

Divisors: 1 7 19 49 133 343 361 931 1373 2527 6517 9611 17689 26087 64709 67277 123823 182609 452963 470939 495653 1229471 1278263 3170741 3469571 8606297 8947841 22195187 23359949 24286997 60244079 88845457 163519643 170008979 421708553 621918199 1144637501 1688063683 4353427393 8012462507 11816445781 30473991751 32073209977 82715120467 224512469839 579005843269 1571587288873 11001111022111