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12131055431 = 113759505187
BaseRepresentation
bin10110100110001000…
…10011011101000111
31011022102201110121022
423103010103131013
5144321022233211
65323430341355
7606422161355
oct132304233507
934272643538
1012131055431
115165734550
1224267ba85b
1311b435c811
148311b47d5
154b000bbdb
hex2d3113747

12131055431 has 16 divisors (see below), whose sum is σ = 13821943680. Its totient is φ = 10548283680.

The previous prime is 12131055427. The next prime is 12131055437. The reversal of 12131055431 is 13455013121.

12131055431 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 12131055431 - 22 = 12131055427 is a prime.

It is a super-2 number, since 2×121310554312 (a number of 21 digits) contains 22 as substring.

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 12131055431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131055437) 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, 228581 + ... + 276606.

It is an arithmetic number, because the mean of its divisors is an integer number (863871480).

Almost surely, 212131055431 is an apocalyptic number.

12131055431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12131055431 is a deficient number, since it is larger than the sum of its proper divisors (1690888249).

12131055431 is a wasteful number, since it uses less digits than its factorization.

12131055431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505294.

The product of its (nonzero) digits is 1800, while the sum is 26.

Adding to 12131055431 its reverse (13455013121), we get a palindrome (25586068552).

The spelling of 12131055431 in words is "twelve billion, one hundred thirty-one million, fifty-five thousand, four hundred thirty-one".

Divisors: 1 11 37 59 407 649 2183 24013 505187 5557057 18691919 29806033 205611109 327866363 1102823221 12131055431