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13042330431 = 31314919711393
BaseRepresentation
bin11000010010110001…
…00010101100111111
31020122221110000220020
430021120202230333
5203202314033211
65554102223223
7641125656654
oct141130425477
936587400806
1013042330431
115593067989
12263ba24b13
1312cb0a31b0
148ba227c2b
15515014306
hex309622b3f

13042330431 has 32 divisors (see below), whose sum is σ = 18950500800. Its totient is φ = 7931019264.

The previous prime is 13042330409. The next prime is 13042330439. The reversal of 13042330431 is 13403324031.

13042330431 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 13042330431 - 29 = 13042329919 is a prime.

It is a super-2 number, since 2×130423304312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13042330439) 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 31 ways as a sum of consecutive naturals, for example, 1139071 + ... + 1150463.

It is an arithmetic number, because the mean of its divisors is an integer number (592203150).

Almost surely, 213042330431 is an apocalyptic number.

13042330431 is a deficient number, since it is larger than the sum of its proper divisors (5908170369).

13042330431 is a wasteful number, since it uses less digits than its factorization.

13042330431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11755.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13042330431 its reverse (13403324031), we get a palindrome (26445654462).

The spelling of 13042330431 in words is "thirteen billion, forty-two million, three hundred thirty thousand, four hundred thirty-one".

Divisors: 1 3 13 39 149 197 447 591 1937 2561 5811 7683 11393 29353 34179 88059 148109 381589 444327 1144767 1697557 2244421 5092671 6733263 22068241 29177473 66204723 87532419 334418729 1003256187 4347443477 13042330431