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12011010011 = 7111329413759
BaseRepresentation
bin10110010111110100…
…10111011111011011
31011000001211112020122
423023322113133123
5144044304310021
65303501343455
7603433620620
oct131372273733
934001745218
1012011010011
1151039a1660
1223b2567b8b
13119551b020
1481d286347
154a46e7bab
hex2cbe977db

12011010011 has 32 divisors (see below), whose sum is σ = 16682803200. Its totient is φ = 8341361280.

The previous prime is 12011010007. The next prime is 12011010029. The reversal of 12011010011 is 11001011021.

It is a happy number.

It is not a de Polignac number, because 12011010011 - 22 = 12011010007 is a prime.

It is a super-2 number, since 2×120110100112 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12011010001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177851 + ... + 235908.

It is an arithmetic number, because the mean of its divisors is an integer number (521337600).

Almost surely, 212011010011 is an apocalyptic number.

12011010011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12011010011 is a deficient number, since it is larger than the sum of its proper divisors (4671793189).

12011010011 is a wasteful number, since it uses less digits than its factorization.

12011010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413819.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 12011010011 its reverse (11001011021), we get a palindrome (23012021032).

The spelling of 12011010011 in words is "twelve billion, eleven million, ten thousand, eleven".

Divisors: 1 7 11 13 29 77 91 143 203 319 377 1001 2233 2639 4147 29029 413759 2896313 4551349 5378867 11999011 31859443 37652069 59167537 83993077 131989121 155987143 414172759 923923847 1091910001 1715858573 12011010011