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13114143014105 = 5712714919800761
BaseRepresentation
bin1011111011010101111111…
…0101011111110011011001
31201102200220011201102120102
42332311133311133303121
53204330231102422410
643520315405305145
72522315455251230
oct276653765376331
951380804642512
1013114143014105
1141a6749934701
121579737b651b5
137418735cac53
14334a29549b17
1517b1e03542a5
hexbed5fd5fcd9

13114143014105 has 32 divisors (see below), whose sum is σ = 18248382259200. Its totient is φ = 8861869739520.

The previous prime is 13114143014099. The next prime is 13114143014107. The reversal of 13114143014105 is 50141034141131.

It is a happy number.

It is not a de Polignac number, because 13114143014105 - 214 = 13114142997721 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13114143014107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9238076 + ... + 10562685.

It is an arithmetic number, because the mean of its divisors is an integer number (570261945600).

Almost surely, 213114143014105 is an apocalyptic number.

It is an amenable number.

13114143014105 is a deficient number, since it is larger than the sum of its proper divisors (5134239245095).

13114143014105 is a wasteful number, since it uses less digits than its factorization.

13114143014105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19801049.

The product of its (nonzero) digits is 2880, while the sum is 29.

Adding to 13114143014105 its reverse (50141034141131), we get a palindrome (63255177155236).

The spelling of 13114143014105 in words is "thirteen trillion, one hundred fourteen billion, one hundred forty-three million, fourteen thousand, one hundred five".

Divisors: 1 5 7 35 127 149 635 745 889 1043 4445 5215 18923 94615 132461 662305 19800761 99003805 138605327 693026635 2514696647 2950313389 12573483235 14751566945 17602876529 20652193723 88014382645 103260968615 374689800403 1873449002015 2622828602821 13114143014105