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133874303478331 = 1327617372887111
BaseRepresentation
bin11110011100001000001010…
…010011011010101000111011
3122120000020222101112002112111
4132130020022103122220323
5120021344033142301311
61152421001143153151
740125046020001363
oct3634101223325073
9576006871462474
10133874303478331
1139724856243729
12130218a14457b7
1359913a5c45880
14250b79d7c39a3
1510725a040ed21
hex79c20a4daa3b

133874303478331 has 8 divisors (see below), whose sum is σ = 144177547629024. Its totient is φ = 123571805157120.

The previous prime is 133874303478197. The next prime is 133874303478361.

133874303478331 is nontrivially palindromic in base 10.

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 133874303478331 - 215 = 133874303445563 is a prime.

It is a super-2 number, since 2×1338743034783312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133874303478361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186084535 + ... + 186802576.

It is an arithmetic number, because the mean of its divisors is an integer number (18022193453628).

Almost surely, 2133874303478331 is an apocalyptic number.

133874303478331 is a deficient number, since it is larger than the sum of its proper divisors (10303244150693).

133874303478331 is a wasteful number, since it uses less digits than its factorization.

133874303478331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372914741.

The product of its (nonzero) digits is 36578304, while the sum is 58.

The spelling of 133874303478331 in words is "one hundred thirty-three trillion, eight hundred seventy-four billion, three hundred three million, four hundred seventy-eight thousand, three hundred thirty-one".

Divisors: 1 13 27617 359021 372887111 4847532443 10298023344487 133874303478331