Search a number
-
+
13366353133 = 724128123677
BaseRepresentation
bin11000111001011001…
…00101110011101101
31021111112011002111001
430130230211303231
5204333241300013
610050155200301
7652142061400
oct143454456355
937445132431
1013366353133
115739a59a41
122710446091
1313502623c3
1490b291d37
155336baddd
hex31cb25ced

13366353133 has 24 divisors (see below), whose sum is σ = 15985207224. Its totient is φ = 11137190400.

The previous prime is 13366353131. The next prime is 13366353197. The reversal of 13366353133 is 33135366331.

It can be written as a sum of positive squares in 4 ways, for example, as 297976644 + 13068376489 = 17262^2 + 114317^2 .

It is not a de Polignac number, because 13366353133 - 21 = 13366353131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13366353092 and 13366353101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13366353131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 552691 + ... + 576367.

It is an arithmetic number, because the mean of its divisors is an integer number (666050301).

Almost surely, 213366353133 is an apocalyptic number.

It is an amenable number.

13366353133 is a deficient number, since it is larger than the sum of its proper divisors (2618854091).

13366353133 is a wasteful number, since it uses less digits than its factorization.

13366353133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24013 (or 24006 counting only the distinct ones).

The product of its digits is 131220, while the sum is 37.

The spelling of 13366353133 in words is "thirteen billion, three hundred sixty-six million, three hundred fifty-three thousand, one hundred thirty-three".

Divisors: 1 7 41 49 281 287 1967 2009 11521 13769 23677 80647 165739 564529 970757 1160173 6653237 6795299 46572659 47567093 272782717 326008613 1909479019 13366353133