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813129037 = 71153100747
BaseRepresentation
bin110000011101110…
…101110101001101
32002200001020100021
4300131311311031
53131130112122
6212404102141
726102324410
oct6035656515
92080036307
10813129037
11387a98976
121a8394951
13cc5cba56
1479dc5b77
154b5bc1c7
hex30775d4d

813129037 has 8 divisors (see below), whose sum is σ = 930105536. Its totient is φ = 696356352.

The previous prime is 813129019. The next prime is 813129043. The reversal of 813129037 is 730921318.

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 813129037 - 211 = 813126989 is a prime.

It is a super-2 number, since 2×8131290372 = 1322357661625094738, 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 = 813128993 and 813129011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813129017) 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 7 ways as a sum of consecutive naturals, for example, 42303 + ... + 58444.

It is an arithmetic number, because the mean of its divisors is an integer number (116263192).

Almost surely, 2813129037 is an apocalyptic number.

It is an amenable number.

813129037 is a deficient number, since it is larger than the sum of its proper divisors (116976499).

813129037 is a wasteful number, since it uses less digits than its factorization.

813129037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101907.

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 813129037 is about 28515.4175315740. The cubic root of 813129037 is about 933.3685360730.

The spelling of 813129037 in words is "eight hundred thirteen million, one hundred twenty-nine thousand, thirty-seven".

Divisors: 1 7 1153 8071 100747 705229 116161291 813129037