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33114750013 is a prime number
BaseRepresentation
bin11110110101110010…
…101111110000111101
310011110211020121010201
4132311302233300331
51020304334000023
623113540003501
72251420505452
oct366562576075
9104424217121
1033114750013
111305345a8a4
126502090591
133179785a47
141861da1829
15cdc2d7bad
hex7b5cafc3d

33114750013 has 2 divisors, whose sum is σ = 33114750014. Its totient is φ = 33114750012.

The previous prime is 33114749977. The next prime is 33114750047. The reversal of 33114750013 is 31005741133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32843225529 + 271524484 = 181227^2 + 16478^2 .

It is an emirp because it is prime and its reverse (31005741133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33114750013 - 229 = 32577879101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33114750073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16557375006 + 16557375007.

It is an arithmetic number, because the mean of its divisors is an integer number (16557375007).

Almost surely, 233114750013 is an apocalyptic number.

It is an amenable number.

33114750013 is a deficient number, since it is larger than the sum of its proper divisors (1).

33114750013 is an equidigital number, since it uses as much as digits as its factorization.

33114750013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 28.

The spelling of 33114750013 in words is "thirty-three billion, one hundred fourteen million, seven hundred fifty thousand, thirteen".