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13001410131 = 337611920161
BaseRepresentation
bin11000001101111000…
…11100011001010011
31020120002110001210120
430012330130121103
5203111330111011
65550041201323
7640121106543
oct140674343123
936502401716
1013001410131
115571a58956
12262a190243
1312c27767b8
148b4a15323
1551162ea06
hex306f1c653

13001410131 has 16 divisors (see below), whose sum is σ = 18095606688. Its totient is φ = 8295091200.

The previous prime is 13001410129. The next prime is 13001410139. The reversal of 13001410131 is 13101410031.

13001410131 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 13001410131 - 21 = 13001410129 is a prime.

It is a super-2 number, since 2×130014101312 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13001410131.

It is not an unprimeable number, because it can be changed into a prime (13001410139) 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, 953310 + ... + 966851.

It is an arithmetic number, because the mean of its divisors is an integer number (1130975418).

Almost surely, 213001410131 is an apocalyptic number.

13001410131 is a deficient number, since it is larger than the sum of its proper divisors (5094196557).

13001410131 is a wasteful number, since it uses less digits than its factorization.

13001410131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920262.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 13001410131 its reverse (13101410031), we get a palindrome (26102820162).

The spelling of 13001410131 in words is "thirteen billion, one million, four hundred ten thousand, one hundred thirty-one".

Divisors: 1 3 37 61 111 183 2257 6771 1920161 5760483 71045957 117129821 213137871 351389463 4333803377 13001410131