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20111102131113 = 327223286206817
BaseRepresentation
bin1001001001010011110110…
…00110010011101110101001
32122012121021021201112200200
410210221323012103232221
510114000014121143423
6110434525054222413
74143656600402400
oct444517306235651
978177237645620
1020111102131113
116454085948604
1223097bb4b4a09
13b2b612c29616
144d754d976637
1524d208ad5d43
hex124a7b193ba9

20111102131113 has 54 divisors (see below), whose sum is σ = 35325226432314. Its totient is φ = 10992403521792.

The previous prime is 20111102131111. The next prime is 20111102131199. The reversal of 20111102131113 is 31113120111102.

It can be written as a sum of positive squares in only one way, i.e., 20107798525584 + 3303605529 = 4484172^2 + 57477^2 .

It is not a de Polignac number, because 20111102131113 - 21 = 20111102131111 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20111102131111) 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 53 ways as a sum of consecutive naturals, for example, 42870120 + ... + 43336697.

Almost surely, 220111102131113 is an apocalyptic number.

20111102131113 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

20111102131113 is a deficient number, since it is larger than the sum of its proper divisors (15214124301201).

20111102131113 is a wasteful number, since it uses less digits than its factorization.

20111102131113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86206883 (or 86206850 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 20111102131113 its reverse (31113120111102), we get a palindrome (51224222242215).

The spelling of 20111102131113 in words is "twenty trillion, one hundred eleven billion, one hundred two million, one hundred thirty-one thousand, one hundred thirteen".

Divisors: 1 3 7 9 21 23 49 63 69 147 161 207 441 483 529 1127 1449 1587 3381 3703 4761 10143 11109 25921 33327 77763 233289 86206817 258620451 603447719 775861353 1810343157 1982756791 4224134033 5431029471 5948270373 12672402099 13879297537 17844811119 38017206297 41637892611 45603406193 97155082759 124913677833 136810218579 291465248277 319223843351 410430655737 874395744831 957671530053 2234566903457 2873014590159 6703700710371 20111102131113