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13431315431 = 293353912953
BaseRepresentation
bin11001000001001000…
…11001101111100111
31021200001101112000002
430200210121233213
5210001404043211
610100435411515
7653561204012
oct144044315747
937601345002
1013431315431
11577269a096
12272a153b9b
131360858c31
14915b62379
1553924e03b
hex320919be7

13431315431 has 8 divisors (see below), whose sum is σ = 13482005040. Its totient is φ = 13380659392.

The previous prime is 13431315397. The next prime is 13431315449. The reversal of 13431315431 is 13451313431.

It is a happy number.

13431315431 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 13431315431 - 218 = 13431053287 is a prime.

It is a super-2 number, since 2×134313154312 (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 = 13431315394 and 13431315403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13431315031) 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, 1030451 + ... + 1043403.

It is an arithmetic number, because the mean of its divisors is an integer number (1685250630).

Almost surely, 213431315431 is an apocalyptic number.

13431315431 is a deficient number, since it is larger than the sum of its proper divisors (50689609).

13431315431 is a wasteful number, since it uses less digits than its factorization.

13431315431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16785.

The product of its digits is 6480, while the sum is 29.

Adding to 13431315431 its reverse (13451313431), we get a palindrome (26882628862).

The spelling of 13431315431 in words is "thirteen billion, four hundred thirty-one million, three hundred fifteen thousand, four hundred thirty-one".

Divisors: 1 293 3539 12953 1036927 3795229 45840667 13431315431