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13182027317 = 113764315263
BaseRepresentation
bin11000100011011010…
…11100011000110101
31021000200022100222222
430101231130120311
5203444044333232
610020012332125
7644443245344
oct142155343065
937020270888
1013182027317
115654a02258
12267a774045
131321005584
148d09cdb5b
1552240ad12
hex311b5c635

13182027317 has 8 divisors (see below), whose sum is σ = 13301293824. Its totient is φ = 13062806848.

The previous prime is 13182027263. The next prime is 13182027323. The reversal of 13182027317 is 71372028131.

13182027317 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 13182027317 - 26 = 13182027253 is a prime.

It is a super-3 number, since 3×131820273173 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13182027367) 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 7 ways as a sum of consecutive naturals, for example, 856028 + ... + 871290.

It is an arithmetic number, because the mean of its divisors is an integer number (1662661728).

Almost surely, 213182027317 is an apocalyptic number.

It is an amenable number.

13182027317 is a deficient number, since it is larger than the sum of its proper divisors (119266507).

13182027317 is a wasteful number, since it uses less digits than its factorization.

13182027317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23019.

The product of its (nonzero) digits is 14112, while the sum is 35.

The spelling of 13182027317 in words is "thirteen billion, one hundred eighty-two million, twenty-seven thousand, three hundred seventeen".

Divisors: 1 113 7643 15263 863659 1724719 116655109 13182027317