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11011120211 = 721323809929
BaseRepresentation
bin10100100000101000…
…00101110001010011
31001102101100212022002
422100110011301103
5140022321321321
65020342304215
7536602656200
oct122024056123
931371325262
1011011120211
114740543653
12217372806b
13106631c060
14766566ca7
15446a3920b
hex290505c53

11011120211 has 48 divisors (see below), whose sum is σ = 14427201600. Its totient is φ = 8314048512.

The previous prime is 11011120207. The next prime is 11011120261. The reversal of 11011120211 is 11202111011.

It is not a de Polignac number, because 11011120211 - 22 = 11011120207 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11011120192 and 11011120201.

It is not an unprimeable number, because it can be changed into a prime (11011120261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11852195 + ... + 11853123.

It is an arithmetic number, because the mean of its divisors is an integer number (300566700).

Almost surely, 211011120211 is an apocalyptic number.

11011120211 is a deficient number, since it is larger than the sum of its proper divisors (3416081389).

11011120211 is a wasteful number, since it uses less digits than its factorization.

11011120211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11011120211 its reverse (11202111011), we get a palindrome (22213231222).

The spelling of 11011120211 in words is "eleven billion, eleven million, one hundred twenty thousand, two hundred eleven".

Divisors: 1 7 13 23 49 91 161 299 637 809 929 1127 2093 5663 6503 10517 12077 14651 18607 21367 39641 45521 73619 84539 130249 149569 241891 277771 515333 591773 751561 911743 1046983 1693237 1944397 5260927 9770293 11852659 13610779 17285903 36826489 68392051 121001321 224716739 478744357 847009247 1573017173 11011120211