Search a number
-
+
8011334031 = 317241225373
BaseRepresentation
bin1110111011000001…
…10100000110001111
3202200022201221021020
413131200310012033
5112401400142111
63402542405223
7402346133661
oct73540640617
922608657236
108011334031
113441209918
121676b90813
139a89b0c4c
1455ddb8531
1531d4d8906
hex1dd83418f

8011334031 has 24 divisors (see below), whose sum is σ = 11623889424. Its totient is φ = 4904094720.

The previous prime is 8011334003. The next prime is 8011334069. The reversal of 8011334031 is 1304331108.

It is not a de Polignac number, because 8011334031 - 214 = 8011317647 is a prime.

It is a super-2 number, since 2×80113340312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8011333992 and 8011334010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8011334231) 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, 77140 + ... + 148233.

It is an arithmetic number, because the mean of its divisors is an integer number (484328726).

Almost surely, 28011334031 is an apocalyptic number.

8011334031 is a deficient number, since it is larger than the sum of its proper divisors (3612555393).

8011334031 is a wasteful number, since it uses less digits than its factorization.

8011334031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225451 (or 225434 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 8011334031 is about 89506.0558342283. The cubic root of 8011334031 is about 2000.9440568915.

Adding to 8011334031 its reverse (1304331108), we get a palindrome (9315665139).

The spelling of 8011334031 in words is "eight billion, eleven million, three hundred thirty-four thousand, thirty-one".

Divisors: 1 3 17 41 51 123 289 697 867 2091 11849 35547 225373 676119 3831341 9240293 11494023 27720879 65132797 157084981 195398391 471254943 2670444677 8011334031