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12434442131 = 409155919501
BaseRepresentation
bin10111001010010011…
…01000011110010011
31012002120121002220202
423211021220132103
5200431204122011
65413505125415
7620065004606
oct134511503623
935076532822
1012434442131
115300a11461
1224b032986b
131232174c87
1485d5ca33d
154cb98923b
hex2e5268793

12434442131 has 8 divisors (see below), whose sum is σ = 12473479200. Its totient is φ = 12395448000.

The previous prime is 12434442127. The next prime is 12434442169. The reversal of 12434442131 is 13124443421.

12434442131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12434442131 - 22 = 12434442127 is a prime.

It is a super-2 number, since 2×124344421312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12434442094 and 12434442103.

It is not an unprimeable number, because it can be changed into a prime (12434442101) 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 7 ways as a sum of consecutive naturals, for example, 627881 + ... + 647381.

It is an arithmetic number, because the mean of its divisors is an integer number (1559184900).

Almost surely, 212434442131 is an apocalyptic number.

12434442131 is a deficient number, since it is larger than the sum of its proper divisors (39037069).

12434442131 is a wasteful number, since it uses less digits than its factorization.

12434442131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21469.

The product of its digits is 9216, while the sum is 29.

Adding to 12434442131 its reverse (13124443421), we get a palindrome (25558885552).

The spelling of 12434442131 in words is "twelve billion, four hundred thirty-four million, four hundred forty-two thousand, one hundred thirty-one".

Divisors: 1 409 1559 19501 637631 7975909 30402059 12434442131