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13103131311 = 329833148063
BaseRepresentation
bin11000011010000000…
…11110101010101111
31020211011212001000200
430031000132222233
5203313400200221
610004113324543
7642464531004
oct141500365257
936734761020
1013103131311
115614415546
122658266753
13130a87084a
148c43338ab
1551a524426
hex30d01eaaf

13103131311 has 12 divisors (see below), whose sum is σ = 18928797888. Its totient is φ = 8734473504.

The previous prime is 13103131229. The next prime is 13103131313. The reversal of 13103131311 is 11313130131.

13103131311 is a `hidden beast` number, since 1 + 310 + 31 + 313 + 11 = 666.

13103131311 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 13103131311 - 213 = 13103123119 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13103131313) 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 11 ways as a sum of consecutive naturals, for example, 14466 + ... + 162528.

It is an arithmetic number, because the mean of its divisors is an integer number (1577399824).

Almost surely, 213103131311 is an apocalyptic number.

13103131311 is a deficient number, since it is larger than the sum of its proper divisors (5825666577).

13103131311 is a wasteful number, since it uses less digits than its factorization.

13103131311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157902 (or 157899 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 13103131311 its reverse (11313130131), we get a palindrome (24416261442).

The spelling of 13103131311 in words is "thirteen billion, one hundred three million, one hundred thirty-one thousand, three hundred eleven".

Divisors: 1 3 9 9833 29499 88497 148063 444189 1332567 1455903479 4367710437 13103131311