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12413144331 = 327197034037
BaseRepresentation
bin10111000111110000…
…11000110100001011
31012001002112001211100
423203320120310023
5200410231104311
65411424432443
7616415662110
oct134370306413
935032461740
1012413144331
11529a995075
1224a5178723
13122a928c23
1485a844907
154c9b7da56
hex2e3e18d0b

12413144331 has 12 divisors (see below), whose sum is σ = 20491539952. Its totient is φ = 7093225296.

The previous prime is 12413144327. The next prime is 12413144339. The reversal of 12413144331 is 13344131421.

12413144331 is a `hidden beast` number, since 12 + 4 + 1 + 314 + 4 + 331 = 666.

12413144331 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 12413144331 - 22 = 12413144327 is a prime.

It is a super-2 number, since 2×124131443312 (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 = 12413144295 and 12413144304.

It is not an unprimeable number, because it can be changed into a prime (12413144339) 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 11 ways as a sum of consecutive naturals, for example, 98516956 + ... + 98517081.

Almost surely, 212413144331 is an apocalyptic number.

12413144331 is a deficient number, since it is larger than the sum of its proper divisors (8078395621).

12413144331 is a wasteful number, since it uses less digits than its factorization.

12413144331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197034050 (or 197034047 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 12413144331 its reverse (13344131421), we get a palindrome (25757275752).

The spelling of 12413144331 in words is "twelve billion, four hundred thirteen million, one hundred forty-four thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 63 197034037 591102111 1379238259 1773306333 4137714777 12413144331