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11110000105 = 511333159407
BaseRepresentation
bin10100101100011010…
…10010010111101001
31001200021102111000101
422112031102113221
5140223130000410
65034233505401
7542213304601
oct122615222751
931607374011
1011110000105
11479133a576
1221a0872261
13108095ca79
14775745c01
1545056bd3a
hex2963525e9

11110000105 has 16 divisors (see below), whose sum is σ = 13490843904. Its totient is φ = 8782583040.

The previous prime is 11110000073. The next prime is 11110000117. The reversal of 11110000105 is 50100001111.

11110000105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11110000105 - 25 = 11110000073 is a prime.

It is a super-3 number, since 3×111100001053 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11110000091 and 11110000100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157312 + ... + 216718.

It is an arithmetic number, because the mean of its divisors is an integer number (843177744).

Almost surely, 211110000105 is an apocalyptic number.

It is an amenable number.

11110000105 is a deficient number, since it is larger than the sum of its proper divisors (2380843799).

11110000105 is a wasteful number, since it uses less digits than its factorization.

11110000105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59856.

The product of its (nonzero) digits is 5, while the sum is 10.

Adding to 11110000105 its reverse (50100001111), we get a palindrome (61210001216).

The spelling of 11110000105 in words is "eleven billion, one hundred ten million, one hundred five", and thus it is an aban number.

Divisors: 1 5 113 331 565 1655 37403 59407 187015 297035 6712991 19663717 33564955 98318585 2222000021 11110000105