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13043102031 = 352915711789
BaseRepresentation
bin11000010010110110…
…11111000101001111
31020122222220020100000
430021123133011033
5203203013231111
65554130535343
7641135352351
oct141133370517
936588806300
1013043102031
115593544673
122640137553
1312cb2b346b
148ba3890d1
15515117c56
hex3096df14f

13043102031 has 48 divisors (see below), whose sum is σ = 20341994400. Its totient is φ = 8341377408.

The previous prime is 13043102029. The next prime is 13043102041. The reversal of 13043102031 is 13020134031.

13043102031 is a `hidden beast` number, since 1 + 30 + 431 + 0 + 203 + 1 = 666.

It is not a de Polignac number, because 13043102031 - 21 = 13043102029 is a prime.

It is a super-2 number, since 2×130431020312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13043101995 and 13043102013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13043102011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1100485 + ... + 1112273.

It is an arithmetic number, because the mean of its divisors is an integer number (423791550).

Almost surely, 213043102031 is an apocalyptic number.

13043102031 is a deficient number, since it is larger than the sum of its proper divisors (7298892369).

13043102031 is a wasteful number, since it uses less digits than its factorization.

13043102031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11990 (or 11978 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13043102031 its reverse (13020134031), we get a palindrome (26063236062).

The spelling of 13043102031 in words is "thirteen billion, forty-three million, one hundred two thousand, thirty-one".

Divisors: 1 3 9 27 29 81 87 157 243 261 471 783 1413 2349 4239 4553 7047 11789 12717 13659 35367 38151 40977 106101 122931 318303 341881 368793 954909 1025643 1106379 1850873 2864727 3076929 5552619 9230787 16657857 27692361 49973571 53675317 83077083 149920713 161025951 449762139 483077853 1449233559 4347700677 13043102031