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13020133221 = 321446681469
BaseRepresentation
bin11000010000000111…
…10111011101100101
31020121101200022001100
430020003313131211
5203131123230341
65551550350313
7640436210034
oct141003673545
936541608040
1013020133221
115581586887
1226344bb399
1312c6600954
148b72ca71b
155130cc3b6
hex3080f7765

13020133221 has 6 divisors (see below), whose sum is σ = 18806859110. Its totient is φ = 8680088808.

The previous prime is 13020133201. The next prime is 13020133261. The reversal of 13020133221 is 12233102031.

13020133221 is a `hidden beast` number, since 130 + 201 + 332 + 2 + 1 = 666.

13020133221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7087282596 + 5932850625 = 84186^2 + 77025^2 .

It is not a de Polignac number, because 13020133221 - 210 = 13020132197 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13020133194 and 13020133203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13020133201) 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 5 ways as a sum of consecutive naturals, for example, 723340726 + ... + 723340743.

Almost surely, 213020133221 is an apocalyptic number.

It is an amenable number.

13020133221 is a deficient number, since it is larger than the sum of its proper divisors (5786725889).

13020133221 is a wasteful number, since it uses less digits than its factorization.

13020133221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446681475 (or 1446681472 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13020133221 its reverse (12233102031), we get a palindrome (25253235252).

The spelling of 13020133221 in words is "thirteen billion, twenty million, one hundred thirty-three thousand, two hundred twenty-one".

Divisors: 1 3 9 1446681469 4340044407 13020133221