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105343355453 = 724152435717
BaseRepresentation
bin110001000011011110…
…1000000101000111101
3101001220120002220221112
41202012331000220331
53211220344333303
6120221041411405
710416335514200
oct1420675005075
9331816086845
10105343355453
114074863a146
12184bb339b65
139c1a83902b
14515497d937
152b183b60d8
hex1886f40a3d

105343355453 has 12 divisors (see below), whose sum is σ = 125531108892. Its totient is φ = 88092002880.

The previous prime is 105343355443. The next prime is 105343355497. The reversal of 105343355453 is 354553343501.

It can be written as a sum of positive squares in 2 ways, for example, as 16999465924 + 88343889529 = 130382^2 + 297227^2 .

It is not a de Polignac number, because 105343355453 - 210 = 105343354429 is a prime.

It is a super-2 number, since 2×1053433554532 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105343355453.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105343355443) 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 11 ways as a sum of consecutive naturals, for example, 26215850 + ... + 26219867.

It is an arithmetic number, because the mean of its divisors is an integer number (10460925741).

Almost surely, 2105343355453 is an apocalyptic number.

It is an amenable number.

105343355453 is a deficient number, since it is larger than the sum of its proper divisors (20187753439).

105343355453 is an equidigital number, since it uses as much as digits as its factorization.

105343355453 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52435772 (or 52435765 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 41.

Adding to 105343355453 its reverse (354553343501), we get a palindrome (459896698954).

The spelling of 105343355453 in words is "one hundred five billion, three hundred forty-three million, three hundred fifty-five thousand, four hundred fifty-three".

Divisors: 1 7 41 49 287 2009 52435717 367050019 2149864397 2569350133 15049050779 105343355453