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813188023 = 23137421613
BaseRepresentation
bin110000011110000…
…100001110110111
32002200011020020221
4300132010032313
53131134004043
6212405235211
726102661364
oct6036041667
92080136227
10813188023
1138802921a
121a8402b07
13cc61c85b
1479ddd46b
154b5ce8ed
hex307843b7

813188023 has 16 divisors (see below), whose sum is σ = 858165696. Its totient is φ = 769063680.

The previous prime is 813188017. The next prime is 813188027. The reversal of 813188023 is 320881318.

813188023 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 813188023 - 29 = 813187511 is a prime.

It is a super-2 number, since 2×8131880232 = 1322549521501297058, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 813188023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813188027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1326265 + ... + 1326877.

It is an arithmetic number, because the mean of its divisors is an integer number (53635356).

Almost surely, 2813188023 is an apocalyptic number.

813188023 is a deficient number, since it is larger than the sum of its proper divisors (44977673).

813188023 is a wasteful number, since it uses less digits than its factorization.

813188023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194.

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 813188023 is about 28516.4517954110. The cubic root of 813188023 is about 933.3911049982.

The spelling of 813188023 in words is "eight hundred thirteen million, one hundred eighty-eight thousand, twenty-three".

Divisors: 1 23 137 421 613 3151 9683 14099 57677 83981 258073 1326571 1931563 5935679 35356001 813188023