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13201340163 = 31119197106877
BaseRepresentation
bin11000100101101110…
…00111011100000011
31021002000122120020120
430102313013130003
5204014020341123
610021542311323
7645066353124
oct142267073403
937060576216
1013201340163
1156648a3290
122685128543
131325007cab
148d33ba04b
15523e732e3
hex312dc7703

13201340163 has 32 divisors (see below), whose sum is σ = 20315370240. Its totient is φ = 7541170560.

The previous prime is 13201340101. The next prime is 13201340197. The reversal of 13201340163 is 36104310231.

It is a happy number.

13201340163 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13201340163 - 213 = 13201331971 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13201340063) 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 31 ways as a sum of consecutive naturals, for example, 70081 + ... + 176957.

It is an arithmetic number, because the mean of its divisors is an integer number (634855320).

Almost surely, 213201340163 is an apocalyptic number.

13201340163 is a deficient number, since it is larger than the sum of its proper divisors (7114030077).

13201340163 is a wasteful number, since it uses less digits than its factorization.

13201340163 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107107.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13201340163 its reverse (36104310231), we get a palindrome (49305650394).

The spelling of 13201340163 in words is "thirteen billion, two hundred one million, three hundred forty thousand, one hundred sixty-three".

Divisors: 1 3 11 19 33 57 197 209 591 627 2167 3743 6501 11229 41173 106877 123519 320631 1175647 2030663 3526941 6091989 21054769 22337293 63164307 67011879 231602459 400040611 694807377 1200121833 4400446721 13201340163