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11006055081 = 327242835827
BaseRepresentation
bin10100100000000001…
…10001001010101001
31001102000211112020200
422100000301022221
5140020022230311
65020041542413
7536511632100
oct122000611251
931360745220
1011006055081
1147386a409a
122171aa4a09
131065267738
14765a09037
15446388556
hex2900312a9

11006055081 has 36 divisors (see below), whose sum is σ = 18500659632. Its totient is φ = 6286626864.

The previous prime is 11006055079. The next prime is 11006055091. The reversal of 11006055081 is 18055060011.

11006055081 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 605 + 50 + 8 + 1 = 666.

It is not a de Polignac number, because 11006055081 - 21 = 11006055079 is a prime.

It is a super-2 number, since 2×110060550812 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11006055091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1885890 + ... + 1891716.

It is an arithmetic number, because the mean of its divisors is an integer number (513907212).

Almost surely, 211006055081 is an apocalyptic number.

It is an amenable number.

11006055081 is a deficient number, since it is larger than the sum of its proper divisors (7494604551).

11006055081 is a wasteful number, since it uses less digits than its factorization.

11006055081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10130 (or 10120 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The spelling of 11006055081 in words is "eleven billion, six million, fifty-five thousand, eighty-one".

Divisors: 1 3 7 9 21 49 63 147 441 4283 5827 12849 17481 29981 38547 40789 52443 89943 122367 209867 269829 285523 367101 629601 856569 1888803 2569707 24957041 74871123 174699287 224613369 524097861 1222895009 1572293583 3668685027 11006055081