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13105330034342 = 27131714153299281
BaseRepresentation
bin1011111010110101001010…
…0010101001011010100110
31201101212010222112200002112
42332231102202221122212
53204204203442044332
643512301104441022
72521554203204540
oct276552242513246
951355128480075
1013105330034342
1141a2a37170557
121577a98619172
13740a9a80c020
14334430cd8690
1517ad767badb2
hexbeb528a96a6

13105330034342 has 64 divisors (see below), whose sum is σ = 25619554364544. Its totient is φ = 4879192965120.

The previous prime is 13105330034333. The next prime is 13105330034347. The reversal of 13105330034342 is 24343003350131.

It is a junction number, because it is equal to n+sod(n) for n = 13105330034299 and 13105330034308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13105330034347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43639742 + ... + 43939022.

It is an arithmetic number, because the mean of its divisors is an integer number (400305536946).

Almost surely, 213105330034342 is an apocalyptic number.

13105330034342 is a deficient number, since it is larger than the sum of its proper divisors (12514224330202).

13105330034342 is a wasteful number, since it uses less digits than its factorization.

13105330034342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313473.

The product of its (nonzero) digits is 38880, while the sum is 32.

Adding to 13105330034342 its reverse (24343003350131), we get a palindrome (37448333384473).

The spelling of 13105330034342 in words is "thirteen trillion, one hundred five billion, three hundred thirty million, thirty-four thousand, three hundred forty-two".

Divisors: 1 2 7 13 14 17 26 34 91 119 182 221 238 442 1547 3094 14153 28306 99071 183989 198142 240601 299281 367978 481202 598562 1287923 1684207 2094967 2575846 3127813 3368414 3890653 4189934 5087777 6255626 7781306 10175554 21894691 27234571 35614439 43789382 54469142 66141101 71228878 132282202 462987707 925975414 4235723993 8471447986 29650067951 55064411909 59300135902 72007307881 110128823818 144014615762 385450883363 504051155167 770901766726 936095002453 1008102310334 1872190004906 6552665017171 13105330034342