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13167638011 = 113947303283
BaseRepresentation
bin11000100001101101…
…00011010111111011
31020222200020022120201
430100312203113323
5203431403404021
610014340103031
7644210035123
oct142066432773
936880208521
1013167638011
115647874370
122675994a77
13131b037ba8
148ccb25c83
15521017591
hex310da35fb

13167638011 has 8 divisors (see below), whose sum is σ = 14368382784. Its totient is φ = 11967507720.

The previous prime is 13167637999. The next prime is 13167638083. The reversal of 13167638011 is 11083676131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13167638011 - 211 = 13167635963 is a prime.

It is a super-2 number, since 2×131676380112 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13167638611) 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 7 ways as a sum of consecutive naturals, for example, 108225 + ... + 195058.

It is an arithmetic number, because the mean of its divisors is an integer number (1796047848).

Almost surely, 213167638011 is an apocalyptic number.

13167638011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13167638011 is a deficient number, since it is larger than the sum of its proper divisors (1200744773).

13167638011 is a wasteful number, since it uses less digits than its factorization.

13167638011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307241.

The product of its (nonzero) digits is 18144, while the sum is 37.

The spelling of 13167638011 in words is "thirteen billion, one hundred sixty-seven million, six hundred thirty-eight thousand, eleven".

Divisors: 1 11 3947 43417 303283 3336113 1197058001 13167638011