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13314130401 = 31113230913441
BaseRepresentation
bin11000110011001010…
…11000000111100001
31021100212212220100210
430121211120013201
5204231404133101
610041052004333
7650636145465
oct143145300741
937325786323
1013314130401
115712530260
1226b6a606a9
1313424a9390
1490437a4a5
1552dd027d6
hex3199581e1

13314130401 has 32 divisors (see below), whose sum is σ = 20866285440. Its totient is φ = 7444684800.

The previous prime is 13314130391. The next prime is 13314130409. The reversal of 13314130401 is 10403141331.

It is not a de Polignac number, because 13314130401 - 25 = 13314130369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13314130409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 983841 + ... + 997281.

It is an arithmetic number, because the mean of its divisors is an integer number (652071420).

Almost surely, 213314130401 is an apocalyptic number.

13314130401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13314130401 is a deficient number, since it is larger than the sum of its proper divisors (7552155039).

13314130401 is a wasteful number, since it uses less digits than its factorization.

13314130401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15777.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 13314130401 its reverse (10403141331), we get a palindrome (23717271732).

The spelling of 13314130401 in words is "thirteen billion, three hundred fourteen million, one hundred thirty thousand, four hundred one".

Divisors: 1 3 11 13 33 39 143 429 2309 6927 13441 25399 30017 40323 76197 90051 147851 174733 330187 443553 524199 990561 1922063 5766189 31035269 93105807 341387959 403458497 1024163877 1210375491 4438043467 13314130401