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813111307 = 31101259697
BaseRepresentation
bin110000011101110…
…001100000001011
32002200000100000121
4300131301200023
53131124030212
6212403444111
726102221621
oct6035614013
92080010017
10813111307
11387a86618
121a8386637
13cc5c3968
1479dbd511
154b5b6d07
hex3077180b

813111307 has 8 divisors (see below), whose sum is σ = 847654272. Its totient is φ = 779088000.

The previous prime is 813111283. The next prime is 813111311. The reversal of 813111307 is 703111318.

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 813111307 - 27 = 813111179 is a prime.

It is a super-2 number, since 2×8131113072 = 1322299995142496498, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (813111317) 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, 126718 + ... + 132979.

It is an arithmetic number, because the mean of its divisors is an integer number (105956784).

Almost surely, 2813111307 is an apocalyptic number.

813111307 is a deficient number, since it is larger than the sum of its proper divisors (34542965).

813111307 is a wasteful number, since it uses less digits than its factorization.

813111307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259829.

The product of its (nonzero) digits is 504, while the sum is 25.

The square root of 813111307 is about 28515.1066454257. The cubic root of 813111307 is about 933.3617520967.

The spelling of 813111307 in words is "eight hundred thirteen million, one hundred eleven thousand, three hundred seven".

Divisors: 1 31 101 3131 259697 8050607 26229397 813111307