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813792131 = 7150322787
BaseRepresentation
bin110000100000010…
…111101110000011
32002201021220221022
4300200113232003
53131312322011
6212430220055
726111055545
oct6040275603
92081256838
10813792131
11388401089
121a865462b
13cc7a1809
147a119695
154b69d8db
hex30817b83

813792131 has 8 divisors (see below), whose sum is σ = 826930944. Its totient is φ = 800700040.

The previous prime is 813792121. The next prime is 813792137. The reversal of 813792131 is 131297318.

It is a happy number.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-813792131 is a prime.

It is a super-2 number, since 2×8137921312 = 1324515264955042322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 813792091 and 813792100.

It is not an unprimeable number, because it can be changed into a prime (813792137) 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, 24320 + ... + 47106.

It is an arithmetic number, because the mean of its divisors is an integer number (103366368).

Almost surely, 2813792131 is an apocalyptic number.

813792131 is a deficient number, since it is larger than the sum of its proper divisors (13138813).

813792131 is a wasteful number, since it uses less digits than its factorization.

813792131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23361.

The product of its digits is 9072, while the sum is 35.

The square root of 813792131 is about 28527.0421004352. The cubic root of 813792131 is about 933.6221829469.

The spelling of 813792131 in words is "eight hundred thirteen million, seven hundred ninety-two thousand, one hundred thirty-one".

Divisors: 1 71 503 22787 35713 1617877 11461861 813792131