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11102200011 = 337269218371
BaseRepresentation
bin10100101011011111…
…00010000011001011
31001122201202012022000
422111233202003023
5140214130400021
65033354402043
7542060100030
oct122557420313
931581665260
1011102200011
1147879a2211
12219a130323
13107c15b626
147746b5387
1544ea2ab26
hex295be20cb

11102200011 has 32 divisors (see below), whose sum is σ = 18867340800. Its totient is φ = 6320501280.

The previous prime is 11102199943. The next prime is 11102200033. The reversal of 11102200011 is 11000220111.

It is a happy number.

11102200011 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 11102200011 - 29 = 11102199499 is a prime.

It is a super-3 number, since 3×111022000113 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11102199966 and 11102200002.

It is not an unprimeable number, because it can be changed into a prime (11102200051) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 58345 + ... + 160026.

It is an arithmetic number, because the mean of its divisors is an integer number (589604400).

Almost surely, 211102200011 is an apocalyptic number.

11102200011 is a deficient number, since it is larger than the sum of its proper divisors (7765140789).

11102200011 is a wasteful number, since it uses less digits than its factorization.

11102200011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218656 (or 218650 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11102200011 its reverse (11000220111), we get a palindrome (22102420122).

The spelling of 11102200011 in words is "eleven billion, one hundred two million, two hundred thousand, eleven".

Divisors: 1 3 7 9 21 27 63 189 269 807 1883 2421 5649 7263 16947 50841 218371 655113 1528597 1965339 4585791 5896017 13757373 41272119 58741799 176225397 411192593 528676191 1233577779 1586028573 3700733337 11102200011