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10235585343 = 34187799479
BaseRepresentation
bin10011000100001011…
…01010001100111111
3222102100001121110110
421202011222030333
5131430302212333
64411400041103
7511435016454
oct114205521477
928370047413
1010235585343
1143827a2845
121b97a63193
13c71753a99
146d156982b
153ed8e6063
hex26216a33f

10235585343 has 16 divisors (see below), whose sum is σ = 13983379200. Its totient is φ = 6655830720.

The previous prime is 10235585333. The next prime is 10235585357. The reversal of 10235585343 is 34358553201.

10235585343 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 10235585343 - 29 = 10235584831 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10235585333) 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, 1075078 + ... + 1084556.

It is an arithmetic number, because the mean of its divisors is an integer number (873961200).

Almost surely, 210235585343 is an apocalyptic number.

10235585343 is a deficient number, since it is larger than the sum of its proper divisors (3747793857).

10235585343 is an equidigital number, since it uses as much as digits as its factorization.

10235585343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18302.

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 10235585343 in words is "ten billion, two hundred thirty-five million, five hundred eighty-five thousand, three hundred forty-three".

Divisors: 1 3 41 123 8779 9479 26337 28437 359939 388639 1079817 1165917 83216141 249648423 3411861781 10235585343