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13531404124 = 2271677873677
BaseRepresentation
bin11001001101000100…
…01101011101011100
31021221000201112212201
430212202031131130
5210203014412444
610114412541244
7656215015540
oct144642153534
937830645781
1013531404124
115814141217
122757781824
131378500c04
14925177a20
15542e1edd4
hex32688d75c

13531404124 has 48 divisors (see below), whose sum is σ = 27266867712. Its totient is φ = 5755557312.

The previous prime is 13531404121. The next prime is 13531404143. The reversal of 13531404124 is 42140413531.

13531404124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 13531404092 and 13531404101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13531404121) 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 15 ways as a sum of consecutive naturals, for example, 3678174 + ... + 3681850.

It is an arithmetic number, because the mean of its divisors is an integer number (568059744).

Almost surely, 213531404124 is an apocalyptic number.

13531404124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13531404124 is an abundant number, since it is smaller than the sum of its proper divisors (13735463588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13531404124 is a wasteful number, since it uses less digits than its factorization.

13531404124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4642 (or 4640 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 13531404124 its reverse (42140413531), we get a palindrome (55671817655).

The spelling of 13531404124 in words is "thirteen billion, five hundred thirty-one million, four hundred four thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 167 334 668 787 1169 1574 2338 3148 3677 4676 5509 7354 11018 14708 22036 25739 51478 102956 131429 262858 525716 614059 920003 1228118 1840006 2456236 2893799 3680012 4298413 5787598 8596826 11575196 17193652 20256593 40513186 81026372 483264433 966528866 1933057732 3382851031 6765702062 13531404124