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11100011985 = 34588331039
BaseRepresentation
bin10100101011001110…
…01011110111010001
31001122120122000220000
422111213023313101
5140213100340420
65033235440213
7542032354656
oct122547136721
931576560800
1011100011985
114786738327
122199456069
13107b87373a
147742a5c2d
1544e747690
hex2959cbdd1

11100011985 has 40 divisors (see below), whose sum is σ = 19920975360. Its totient is φ = 5913111456.

The previous prime is 11100011971. The next prime is 11100012013. The reversal of 11100011985 is 58911000111.

It is not a de Polignac number, because 11100011985 - 25 = 11100011953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 342096 + ... + 373134.

It is an arithmetic number, because the mean of its divisors is an integer number (498024384).

Almost surely, 211100011985 is an apocalyptic number.

11100011985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11100011985 is a deficient number, since it is larger than the sum of its proper divisors (8820963375).

11100011985 is an equidigital number, since it uses as much as digits as its factorization.

11100011985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31939 (or 31930 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 27.

The spelling of 11100011985 in words is "eleven billion, one hundred million, eleven thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 883 2649 4415 7947 13245 23841 31039 39735 71523 93117 119205 155195 279351 357615 465585 838053 1396755 2514159 4190265 12570795 27407437 82222311 137037185 246666933 411111555 740000799 1233334665 2220002397 3700003995 11100011985