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13123335563 = 131738596793
BaseRepresentation
bin11000011100011011…
…00011010110001011
31020212120212112001022
430032031203112023
5203334033214223
610010114343055
7643131340352
oct141615432613
936776775038
1013123335563
115624865278
122662b8aa8b
131311ac5c20
148c6cb2999
1551c1b5ac8
hex30e36358b

13123335563 has 16 divisors (see below), whose sum is σ = 14233158240. Its totient is φ = 12028034304.

The previous prime is 13123335559. The next prime is 13123335581. The reversal of 13123335563 is 36553332131.

13123335563 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 13123335563 - 22 = 13123335559 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13123335503) 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, 1928495 + ... + 1935287.

It is an arithmetic number, because the mean of its divisors is an integer number (889572390).

Almost surely, 213123335563 is an apocalyptic number.

13123335563 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13123335563 is a deficient number, since it is larger than the sum of its proper divisors (1109822677).

13123335563 is a wasteful number, since it uses less digits than its factorization.

13123335563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7838.

The product of its digits is 72900, while the sum is 35.

Adding to 13123335563 its reverse (36553332131), we get a palindrome (49676667694).

The spelling of 13123335563 in words is "thirteen billion, one hundred twenty-three million, three hundred thirty-five thousand, five hundred sixty-three".

Divisors: 1 13 173 859 2249 6793 11167 88309 148607 1175189 1931891 5835187 15277457 75857431 1009487351 13123335563