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12444430131 = 327659299743
BaseRepresentation
bin10111001011011111…
…01110111100110011
31012010021101112212200
423211233232330303
5200441233231011
65414503154243
7620245624260
oct134557567463
935107345780
1012444430131
115306613601
1224b3745983
131234261233
14860a6a267
154cc7ad856
hex2e5beef33

12444430131 has 24 divisors (see below), whose sum is σ = 20574428160. Its totient is φ = 7100288496.

The previous prime is 12444430109. The next prime is 12444430169. The reversal of 12444430131 is 13103444421.

It is not a de Polignac number, because 12444430131 - 29 = 12444429619 is a prime.

It is a super-2 number, since 2×124444301312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12444430095 and 12444430104.

It is not an unprimeable number, because it can be changed into a prime (12444434131) 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 23 ways as a sum of consecutive naturals, for example, 108355 + ... + 191388.

It is an arithmetic number, because the mean of its divisors is an integer number (857267840).

Almost surely, 212444430131 is an apocalyptic number.

12444430131 is a deficient number, since it is larger than the sum of its proper divisors (8129998029).

12444430131 is a wasteful number, since it uses less digits than its factorization.

12444430131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300415 (or 300412 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 12444430131 its reverse (13103444421), we get a palindrome (25547874552).

The spelling of 12444430131 in words is "twelve billion, four hundred forty-four million, four hundred thirty thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 63 659 1977 4613 5931 13839 41517 299743 899229 2098201 2697687 6294603 18883809 197530637 592591911 1382714459 1777775733 4148143377 12444430131