Search a number
-
+
731140541131 = 711213143346337
BaseRepresentation
bin10101010001110110101…
…11110100101011001011
32120220012102220210102011
422220323113310223023
543434333434304011
61315514211120351
7103552226026120
oct12507327645313
92526172823364
10731140541131
11262090858100
12b98495a30b7
1353c3bc08940
142755d002747
1514042dc4621
hexaa3b5f4acb

731140541131 has 48 divisors (see below), whose sum is σ = 989819716032. Its totient is φ = 525516963840.

The previous prime is 731140541111. The next prime is 731140541149. The reversal of 731140541131 is 131145041137.

It is a happy number.

It is not a de Polignac number, because 731140541131 - 29 = 731140540619 is a prime.

It is a super-2 number, since 2×7311405411312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 731140541093 and 731140541102.

It is not an unprimeable number, because it can be changed into a prime (731140541111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15755595 + ... + 15801931.

It is an arithmetic number, because the mean of its divisors is an integer number (20621244084).

Almost surely, 2731140541131 is an apocalyptic number.

731140541131 is a deficient number, since it is larger than the sum of its proper divisors (258679174901).

731140541131 is a wasteful number, since it uses less digits than its factorization.

731140541131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47812 (or 47801 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

Adding to 731140541131 its reverse (131145041137), we get a palindrome (862285582268).

The spelling of 731140541131 in words is "seven hundred thirty-one billion, one hundred forty million, five hundred forty-one thousand, one hundred thirty-one".

Divisors: 1 7 11 13 77 91 121 143 847 1001 1433 1573 10031 11011 15763 18629 46337 110341 130403 173393 204919 324359 509707 602381 1213751 1434433 2254109 3567949 4216667 5606777 6626191 15778763 39247439 46383337 66400921 72888101 464806447 510216707 730410131 863211973 5112870917 6042483811 8034511441 9495331703 56241580087 66467321921 104448648733 731140541131