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12011130113 = 41837194909
BaseRepresentation
bin10110010111110101…
…10100110100000001
31011000002001121222212
423023322310310001
5144044322130423
65303504111505
7603434631023
oct131372646401
934002047885
1012011130113
115103a73914
1223b2605595
1311955608a8
1481d2b8013
154a471d578
hex2cbeb4d01

12011130113 has 16 divisors (see below), whose sum is σ = 12472185600. Its totient is φ = 11558536320.

The previous prime is 12011130107. The next prime is 12011130119. The reversal of 12011130113 is 31103111021.

It is a happy number.

12011130113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12011130107) and next prime (12011130119).

It is not a de Polignac number, because 12011130113 - 210 = 12011129089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12011130119) 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 15 ways as a sum of consecutive naturals, for example, 2444303 + ... + 2449211.

It is an arithmetic number, because the mean of its divisors is an integer number (779511600).

Almost surely, 212011130113 is an apocalyptic number.

It is an amenable number.

12011130113 is a deficient number, since it is larger than the sum of its proper divisors (461055487).

12011130113 is an equidigital number, since it uses as much as digits as its factorization.

12011130113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5752.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 12011130113 its reverse (31103111021), we get a palindrome (43114241134).

The spelling of 12011130113 in words is "twelve billion, eleven million, one hundred thirty thousand, one hundred thirteen".

Divisors: 1 41 83 719 3403 4909 29479 59677 201269 407447 2446757 3529571 16705327 144712411 292954393 12011130113