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12444010131 = 374712607913
BaseRepresentation
bin10111001011011100…
…01000011010010011
31012010020121012202010
423211232020122103
5200441131311011
65414450154003
7620242224630
oct134556103223
935106535663
1012444010131
115306356aa3
1224b3582903
131234145007
1486099b187
154cc7291a6
hex2e5b88693

12444010131 has 16 divisors (see below), whose sum is σ = 19365755904. Its totient is φ = 6959567424.

The previous prime is 12444010109. The next prime is 12444010147. The reversal of 12444010131 is 13101044421.

12444010131 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 12444010131 - 26 = 12444010067 is a prime.

It is a super-2 number, since 2×124440101312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 12444010098 and 12444010107.

It is not an unprimeable number, because it can be changed into a prime (12444015131) 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, 6302970 + ... + 6304943.

It is an arithmetic number, because the mean of its divisors is an integer number (1210359744).

Almost surely, 212444010131 is an apocalyptic number.

12444010131 is a deficient number, since it is larger than the sum of its proper divisors (6921745773).

12444010131 is a wasteful number, since it uses less digits than its factorization.

12444010131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12607970.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 12444010131 its reverse (13101044421), we get a palindrome (25545054552).

The spelling of 12444010131 in words is "twelve billion, four hundred forty-four million, ten thousand, one hundred thirty-one".

Divisors: 1 3 7 21 47 141 329 987 12607913 37823739 88255391 264766173 592571911 1777715733 4148003377 12444010131