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813228131 = 53131911633
BaseRepresentation
bin110000011110001…
…110000001100011
32002200020021021102
4300132032001203
53131141300011
6212410145015
726103216332
oct6036160143
92080207242
10813228131
11388056371
121a842216b
13cc634ba1
147a00dd19
154b5db73b
hex3078e063

813228131 has 8 divisors (see below), whose sum is σ = 829271520. Its totient is φ = 797210752.

The previous prime is 813228109. The next prime is 813228161. The reversal of 813228131 is 131822318.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 813228131 - 26 = 813228067 is a prime.

It is a super-2 number, since 2×8132281312 = 1322679986099506322, which contains 22 as substring.

It is a Duffinian number.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 813228094 and 813228103.

It is not an unprimeable number, because it can be changed into a prime (813228161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64091 + ... + 75723.

It is an arithmetic number, because the mean of its divisors is an integer number (103658940).

Almost surely, 2813228131 is an apocalyptic number.

813228131 is a deficient number, since it is larger than the sum of its proper divisors (16043389).

813228131 is a wasteful number, since it uses less digits than its factorization.

813228131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13005.

The product of its digits is 2304, while the sum is 29.

The square root of 813228131 is about 28517.1550299114. The cubic root of 813228131 is about 933.4064502951.

It can be divided in two parts, 8132 and 28131, that added together give a palindrome (36263).

The spelling of 813228131 in words is "eight hundred thirteen million, two hundred twenty-eight thousand, one hundred thirty-one".

Divisors: 1 53 1319 11633 69907 616549 15343927 813228131