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13330238013 = 333797130027
BaseRepresentation
bin11000110101000101…
…10100101000111101
31021102000012020212000
430122202310220331
5204300020104023
610042425132513
7651223103451
oct143242645075
937360166760
1013330238013
115720632134
12270032a139
131345928c01
14906570661
15530435243
hex31a8b4a3d

13330238013 has 16 divisors (see below), whose sum is σ = 19753853760. Its totient is φ = 8884416528.

The previous prime is 13330238003. The next prime is 13330238057. The reversal of 13330238013 is 31083203331.

13330238013 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 13330238013 - 24 = 13330237997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13330238003) 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, 37506 + ... + 167532.

It is an arithmetic number, because the mean of its divisors is an integer number (1234615860).

Almost surely, 213330238013 is an apocalyptic number.

It is an amenable number.

13330238013 is a deficient number, since it is larger than the sum of its proper divisors (6423615747).

13330238013 is a wasteful number, since it uses less digits than its factorization.

13330238013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133833 (or 133827 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 13330238013 in words is "thirteen billion, three hundred thirty million, two hundred thirty-eight thousand, thirteen".

Divisors: 1 3 9 27 3797 11391 34173 102519 130027 390081 1170243 3510729 493712519 1481137557 4443412671 13330238013