Search a number
-
+
7131075318 = 2322837011997
BaseRepresentation
bin1101010010000101…
…11001001011110110
3200101222101011022200
412221002321023312
5104101023402233
63135335405330
7341500066023
oct65102711366
920358334280
107131075318
11302a340484
121470223846
13898509cc3
144b911a54a
152bb0ab313
hex1a90b92f6

7131075318 has 48 divisors (see below), whose sum is σ = 15535153296. Its totient is φ = 2364062400.

The previous prime is 7131075317. The next prime is 7131075331. The reversal of 7131075318 is 8135701317.

It is a happy number.

7131075318 is a `hidden beast` number, since 7 + 13 + 107 + 531 + 8 = 666.

It is a super-2 number, since 2×71310753182 (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 (7131075317) 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 23 ways as a sum of consecutive naturals, for example, 3569896 + ... + 3571892.

It is an arithmetic number, because the mean of its divisors is an integer number (323649027).

Almost surely, 27131075318 is an apocalyptic number.

7131075318 is an abundant number, since it is smaller than the sum of its proper divisors (8404077978).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7131075318 is a wasteful number, since it uses less digits than its factorization.

7131075318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2989 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 7131075318 is about 84445.6944906015. The cubic root of 7131075318 is about 1924.7973311567.

The spelling of 7131075318 in words is "seven billion, one hundred thirty-one million, seventy-five thousand, three hundred eighteen".

Divisors: 1 2 3 6 9 18 283 566 701 849 1402 1698 1997 2103 2547 3994 4206 5094 5991 6309 11982 12618 17973 35946 198383 396766 565151 595149 1130302 1190298 1399897 1695453 1785447 2799794 3390906 3570894 4199691 5086359 8399382 10172718 12599073 25198146 396170851 792341702 1188512553 2377025106 3565537659 7131075318