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11130300311321 = 375923992125313
BaseRepresentation
bin1010000111110111100110…
…0110001010011100011001
31110102001020202200022121202
42201331321212022130121
52424324323334430241
635401104523243545
72226065134435022
oct241757146123431
943361222608552
1011130300311321
1136013743a5414
1212b91630795b5
136297765a5299
142a69d0895c49
151447d0a8dd9b
hexa1f7998a719

11130300311321 has 16 divisors (see below), whose sum is σ = 11629718208000. Its totient is φ = 10641488191488.

The previous prime is 11130300311311. The next prime is 11130300311323. The reversal of 11130300311321 is 12311300303111.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11130300311321 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11130300311293 and 11130300311302.

It is not an unprimeable number, because it can be changed into a prime (11130300311323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4174361 + ... + 6299673.

It is an arithmetic number, because the mean of its divisors is an integer number (726857388000).

Almost surely, 211130300311321 is an apocalyptic number.

It is an amenable number.

11130300311321 is a deficient number, since it is larger than the sum of its proper divisors (499417896679).

11130300311321 is a wasteful number, since it uses less digits than its factorization.

11130300311321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127808.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 11130300311321 its reverse (12311300303111), we get a palindrome (23441600614432).

The spelling of 11130300311321 in words is "eleven trillion, one hundred thirty billion, three hundred million, three hundred eleven thousand, three hundred twenty-one".

Divisors: 1 37 59 2183 2399 88763 141541 2125313 5237017 78636581 125393467 4639558279 5098625887 188649157819 300818927333 11130300311321