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13113442431 = 34374375523
BaseRepresentation
bin11000011011001111…
…10100000001111111
31020211220020220020000
430031213310001333
5203324020124211
610005122325343
7642651264405
oct141547640177
936756226200
1013113442431
11561a218431
12265b7b9853
13130ca40bbb
148c5859475
1551b3ae656
hex30d9f407f

13113442431 has 20 divisors (see below), whose sum is σ = 20118659352. Its totient is φ = 8506014768.

The previous prime is 13113442429. The next prime is 13113442453. The reversal of 13113442431 is 13424431131.

13113442431 is a `hidden beast` number, since 1 + 311 + 344 + 2 + 4 + 3 + 1 = 666.

It is not a de Polignac number, because 13113442431 - 21 = 13113442429 is a prime.

It is a super-2 number, since 2×131134424312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13113442395 and 13113442404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13113442931) 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 19 ways as a sum of consecutive naturals, for example, 2184765 + ... + 2190758.

Almost surely, 213113442431 is an apocalyptic number.

13113442431 is a deficient number, since it is larger than the sum of its proper divisors (7005216921).

13113442431 is an equidigital number, since it uses as much as digits as its factorization.

13113442431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4375572 (or 4375563 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 13113442431 its reverse (13424431131), we get a palindrome (26537873562).

The spelling of 13113442431 in words is "thirteen billion, one hundred thirteen million, four hundred forty-two thousand, four hundred thirty-one".

Divisors: 1 3 9 27 37 81 111 333 999 2997 4375523 13126569 39379707 118139121 161894351 354417363 485683053 1457049159 4371147477 13113442431