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13541014531 = 1121134912017
BaseRepresentation
bin11001001110001101…
…10111110000000011
31021221200210210212201
430213012313300003
5210212444431111
610115354534031
7656362503322
oct144706676003
937850723781
1013541014531
115819605700
12275aa37317
13137a4b7345
1492655a0b9
15543bbc6c1
hex3271b7c03

13541014531 has 24 divisors (see below), whose sum is σ = 15053682672. Its totient is φ = 12170188800.

The previous prime is 13541014523. The next prime is 13541014547.

13541014531 is nontrivially palindromic in base 10.

13541014531 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13541014531 - 23 = 13541014523 is a prime.

It is a super-2 number, since 2×135410145312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13541014531.

It is not an unprimeable number, because it can be changed into a prime (13541014511) 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 23 ways as a sum of consecutive naturals, for example, 6712435 + ... + 6714451.

It is an arithmetic number, because the mean of its divisors is an integer number (627236778).

Almost surely, 213541014531 is an apocalyptic number.

13541014531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13541014531 is a deficient number, since it is larger than the sum of its proper divisors (1512668141).

13541014531 is a wasteful number, since it uses less digits than its factorization.

13541014531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2643 (or 2632 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

It can be divided in two parts, 135410 and 14531, that added together give a palindrome (149941).

The spelling of 13541014531 in words is "thirteen billion, five hundred forty-one million, fourteen thousand, five hundred thirty-one".

Divisors: 1 11 113 121 491 1243 2017 5401 13673 22187 55483 59411 227921 244057 610313 990347 2507131 6713443 10893817 27578441 111909211 119831987 1231001321 13541014531