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12114434231 = 31212606071
BaseRepresentation
bin10110100100001001…
…11001100010110111
31011021021110000121022
423102010321202313
5144302243343411
65322034211355
7606130664144
oct132204714267
934237400538
1012114434231
115157311819
122421123b5b
1311b0a902a3
1482ccc93cb
154ad826edb
hex2d21398b7

12114434231 has 6 divisors (see below), whose sum is σ = 12517829496. Its totient is φ = 11723645100.

The previous prime is 12114434203. The next prime is 12114434261. The reversal of 12114434231 is 13243441121.

12114434231 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 12114434231 - 222 = 12110239927 is a prime.

It is a super-3 number, since 3×121144342313 (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 self number, because there is not a number n which added to its sum of digits gives 12114434231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12114434201) 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 5 ways as a sum of consecutive naturals, for example, 6302075 + ... + 6303996.

It is an arithmetic number, because the mean of its divisors is an integer number (2086304916).

Almost surely, 212114434231 is an apocalyptic number.

12114434231 is a deficient number, since it is larger than the sum of its proper divisors (403395265).

12114434231 is an equidigital number, since it uses as much as digits as its factorization.

12114434231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12606133 (or 12606102 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

Adding to 12114434231 its reverse (13243441121), we get a palindrome (25357875352).

The spelling of 12114434231 in words is "twelve billion, one hundred fourteen million, four hundred thirty-four thousand, two hundred thirty-one".

Divisors: 1 31 961 12606071 390788201 12114434231