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13200422013 = 34162968173
BaseRepresentation
bin11000100101100111…
…00111010001111101
31021001221220220210000
430102303213101331
5204013302001023
610021510504513
7645055510242
oct142263472175
937057826700
1013200422013
115664326489
122684965139
131324a760cc
148d321b5c9
15523d41243
hex312ce747d

13200422013 has 10 divisors (see below), whose sum is σ = 19719149054. Its totient is φ = 8800281288.

The previous prime is 13200422009. The next prime is 13200422041. The reversal of 13200422013 is 31022400231.

It can be written as a sum of positive squares in only one way, i.e., 10193325444 + 3007096569 = 100962^2 + 54837^2 .

It is not a de Polignac number, because 13200422013 - 22 = 13200422009 is a prime.

It is a super-2 number, since 2×132004220132 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13200426013) 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 9 ways as a sum of consecutive naturals, for example, 81484006 + ... + 81484167.

Almost surely, 213200422013 is an apocalyptic number.

It is an amenable number.

13200422013 is a deficient number, since it is larger than the sum of its proper divisors (6518727041).

13200422013 is an equidigital number, since it uses as much as digits as its factorization.

13200422013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162968185 (or 162968176 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13200422013 its reverse (31022400231), we get a palindrome (44222822244).

The spelling of 13200422013 in words is "thirteen billion, two hundred million, four hundred twenty-two thousand, thirteen".

Divisors: 1 3 9 27 81 162968173 488904519 1466713557 4400140671 13200422013