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13035435023 = 131099979227
BaseRepresentation
bin11000010001111100…
…01111010000001111
31020122110110201011202
430020332033100033
5203144032410043
65553254340115
7641013240512
oct141076172017
936573421152
1013035435023
11558a1882a6
12263965a63b
1312c982a780
148b9350d79
155146011b8
hex308f8f40f

13035435023 has 16 divisors (see below), whose sum is σ = 14182697760. Its totient is φ = 11909068416.

The previous prime is 13035435001. The next prime is 13035435029. The reversal of 13035435023 is 32053453031.

13035435023 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13035435023 - 214 = 13035418639 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13035435029) 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, 1408136 + ... + 1417362.

It is an arithmetic number, because the mean of its divisors is an integer number (886418610).

Almost surely, 213035435023 is an apocalyptic number.

13035435023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13035435023 is a deficient number, since it is larger than the sum of its proper divisors (1147262737).

13035435023 is a wasteful number, since it uses less digits than its factorization.

13035435023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10346.

The product of its (nonzero) digits is 16200, while the sum is 29.

Adding to 13035435023 its reverse (32053453031), we get a palindrome (45088888054).

The spelling of 13035435023 in words is "thirteen billion, thirty-five million, four hundred thirty-five thousand, twenty-three".

Divisors: 1 13 109 997 1417 9227 12961 108673 119951 1005743 1412749 9199319 13074659 119591147 1002725771 13035435023