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12431344313421 = 3211125569134479
BaseRepresentation
bin1011010011100110010111…
…0111001010010001001101
31122000102110202111120111100
42310321211313022101031
53112133343121012141
642234514123413313
72422064205124335
oct264714567122115
948012422446440
1012431344313421
113a63115864860
121489340084239
136c2369a74c37
1430d9749640c5
1516857b4880b6
hexb4e65dca44d

12431344313421 has 12 divisors (see below), whose sum is σ = 19588784978880. Its totient is φ = 7534148068680.

The previous prime is 12431344313371. The next prime is 12431344313429.

12431344313421 is a `hidden beast` number, since 1 + 2 + 4 + 313 + 4 + 4 + 313 + 4 + 21 = 666.

12431344313421 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12431344313421 - 218 = 12431344051277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12431344313429) 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 11 ways as a sum of consecutive naturals, for example, 62784567141 + ... + 62784567338.

It is an arithmetic number, because the mean of its divisors is an integer number (1632398748240).

Almost surely, 212431344313421 is an apocalyptic number.

12431344313421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12431344313421 is a deficient number, since it is larger than the sum of its proper divisors (7157440665459).

12431344313421 is a wasteful number, since it uses less digits than its factorization.

12431344313421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125569134496 (or 125569134493 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 1243134 and 4313421, that added together give a palindrome (5556555).

The spelling of 12431344313421 in words is "twelve trillion, four hundred thirty-one billion, three hundred forty-four million, three hundred thirteen thousand, four hundred twenty-one".

Divisors: 1 3 9 11 33 99 125569134479 376707403437 1130122210311 1381260479269 4143781437807 12431344313421