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813131289 = 3290347921
BaseRepresentation
bin110000011101110…
…110011000011001
32002200001100102200
4300131312120121
53131130200124
6212404120413
726102334105
oct6035663031
92080040380
10813131289
11387a9a633
121a8396109
13cc5cca99
1479dc6905
154b5bcbc9
hex30776619

813131289 has 6 divisors (see below), whose sum is σ = 1174522986. Its totient is φ = 542087520.

The previous prime is 813131287. The next prime is 813131299. The reversal of 813131289 is 982131318.

813131289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 802022400 + 11108889 = 28320^2 + 3333^2 .

It is not a de Polignac number, because 813131289 - 21 = 813131287 is a prime.

It is a super-2 number, since 2×8131312892 = 1322364986301603042, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (813131287) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45173952 + ... + 45173969.

It is an arithmetic number, because the mean of its divisors is an integer number (195753831).

Almost surely, 2813131289 is an apocalyptic number.

It is an amenable number.

813131289 is a deficient number, since it is larger than the sum of its proper divisors (361391697).

813131289 is a wasteful number, since it uses less digits than its factorization.

813131289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90347927 (or 90347924 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 813131289 is about 28515.4570189573. The cubic root of 813131289 is about 933.3693977419.

The spelling of 813131289 in words is "eight hundred thirteen million, one hundred thirty-one thousand, two hundred eighty-nine".

Divisors: 1 3 9 90347921 271043763 813131289