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11200112231 = 721121889039
BaseRepresentation
bin10100110111001010…
…00010011001100111
31001220112222122121112
422123211002121213
5140414212042411
65051213135235
7544356245300
oct123345023147
931815878545
1011200112231
114828198100
122206a8a51b
131096520a59
147836c17a7
1545841bb8b
hex29b942667

11200112231 has 18 divisors (see below), whose sum is σ = 14320812240. Its totient is φ = 8727355560.

The previous prime is 11200112197. The next prime is 11200112237. The reversal of 11200112231 is 13221100211.

11200112231 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 11200112231 - 26 = 11200112167 is a prime.

It is a super-2 number, since 2×112001122312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200112237) 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 17 ways as a sum of consecutive naturals, for example, 938591 + ... + 950448.

It is an arithmetic number, because the mean of its divisors is an integer number (795600680).

Almost surely, 211200112231 is an apocalyptic number.

11200112231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11200112231 is a deficient number, since it is larger than the sum of its proper divisors (3120700009).

11200112231 is a wasteful number, since it uses less digits than its factorization.

11200112231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889075 (or 1889057 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 11200112231 its reverse (13221100211), we get a palindrome (24421212442).

The spelling of 11200112231 in words is "eleven billion, two hundred million, one hundred twelve thousand, two hundred thirty-one".

Divisors: 1 7 11 49 77 121 539 847 5929 1889039 13223273 20779429 92562911 145456003 228573719 1018192021 1600016033 11200112231