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13006435143 = 313333498337
BaseRepresentation
bin11000001110011111…
…00111001101000111
31020120102220100211010
430013033213031013
5203114121411033
65550341013303
7640211605662
oct140717471507
936512810733
1013006435143
115574880259
12262b9b4233
1312c3815a90
148b55626d9
15511cc3863
hex3073e7347

13006435143 has 8 divisors (see below), whose sum is σ = 18675906928. Its totient is φ = 8003960064.

The previous prime is 13006435111. The next prime is 13006435151. The reversal of 13006435143 is 34153460031.

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

It is not a de Polignac number, because 13006435143 - 25 = 13006435111 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13006435143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13006435103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166749130 + ... + 166749207.

It is an arithmetic number, because the mean of its divisors is an integer number (2334488366).

Almost surely, 213006435143 is an apocalyptic number.

13006435143 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13006435143 is a deficient number, since it is larger than the sum of its proper divisors (5669471785).

13006435143 is a wasteful number, since it uses less digits than its factorization.

13006435143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333498353.

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 13006435143 its reverse (34153460031), we get a palindrome (47159895174).

The spelling of 13006435143 in words is "thirteen billion, six million, four hundred thirty-five thousand, one hundred forty-three".

Divisors: 1 3 13 39 333498337 1000495011 4335478381 13006435143