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13131123231 = 3191511525633
BaseRepresentation
bin11000011101010110…
…10000101000011111
31020220010112011201110
430032223100220133
5203343031420411
610010553313103
7643254464052
oct141653205037
936803464643
1013131123231
1156291a4266
122665705793
1313135c1805
148c7d3ca99
1551cc032a6
hex30ead0a1f

13131123231 has 16 divisors (see below), whose sum is σ = 18551709440. Its totient is φ = 8238412800.

The previous prime is 13131123227. The next prime is 13131123253. The reversal of 13131123231 is 13232113131.

It is a happy number.

13131123231 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 13131123231 - 22 = 13131123227 is a prime.

It is a super-2 number, since 2×131311232312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13131123198 and 13131123207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131123281) 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, 754210 + ... + 771423.

It is an arithmetic number, because the mean of its divisors is an integer number (1159481840).

Almost surely, 213131123231 is an apocalyptic number.

13131123231 is a deficient number, since it is larger than the sum of its proper divisors (5420586209).

13131123231 is a wasteful number, since it uses less digits than its factorization.

13131123231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525806.

The product of its digits is 324, while the sum is 21.

Adding to 13131123231 its reverse (13232113131), we get a palindrome (26363236362).

The spelling of 13131123231 in words is "thirteen billion, one hundred thirty-one million, one hundred twenty-three thousand, two hundred thirty-one".

Divisors: 1 3 19 57 151 453 2869 8607 1525633 4576899 28987027 86961081 230370583 691111749 4377041077 13131123231