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13220300133 = 323739700601
BaseRepresentation
bin11000100111111110…
…11100010101100101
31021010100022211102200
430103333130111211
5204033344101013
610023500525113
7645416461035
oct142377342545
937110284380
1013220300133
115674573187
12268b550799
131328c15c01
148d5b138c5
1552596ae73
hex313fdc565

13220300133 has 12 divisors (see below), whose sum is σ = 19612097388. Its totient is φ = 8575329600.

The previous prime is 13220300123. The next prime is 13220300173. The reversal of 13220300133 is 33100302231.

13220300133 is a `hidden beast` number, since 13 + 220 + 300 + 133 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7026295329 + 6194004804 = 83823^2 + 78702^2 .

It is not a de Polignac number, because 13220300133 - 26 = 13220300069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13220300123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19849968 + ... + 19850633.

It is an arithmetic number, because the mean of its divisors is an integer number (1634341449).

Almost surely, 213220300133 is an apocalyptic number.

It is an amenable number.

13220300133 is a deficient number, since it is larger than the sum of its proper divisors (6391797255).

13220300133 is a wasteful number, since it uses less digits than its factorization.

13220300133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39700644 (or 39700641 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13220300133 its reverse (33100302231), we get a palindrome (46320602364).

The spelling of 13220300133 in words is "thirteen billion, two hundred twenty million, three hundred thousand, one hundred thirty-three".

Divisors: 1 3 9 37 111 333 39700601 119101803 357305409 1468922237 4406766711 13220300133