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812272137 = 331371132089
BaseRepresentation
bin110000011010100…
…100101000001001
32002121102200220020
4300122210220021
53130420202022
6212333451053
726062125225
oct6032445011
92077380806
10812272137
11387563096
121a8040a89
13cc38ba01
1479c41785
154b49d35c
hex306a4a09

812272137 has 32 divisors (see below), whose sum is σ = 1158896640. Its totient is φ = 505128960.

The previous prime is 812272133. The next prime is 812272151. The reversal of 812272137 is 731272218.

It is not a de Polignac number, because 812272137 - 22 = 812272133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 812272098 and 812272107.

It is not an unprimeable number, because it can be changed into a prime (812272133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 387789 + ... + 389877.

It is an arithmetic number, because the mean of its divisors is an integer number (36215520).

Almost surely, 2812272137 is an apocalyptic number.

It is an amenable number.

812272137 is a deficient number, since it is larger than the sum of its proper divisors (346624503).

812272137 is a wasteful number, since it uses less digits than its factorization.

812272137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273.

The product of its digits is 9408, while the sum is 33.

The square root of 812272137 is about 28500.3883657749. The cubic root of 812272137 is about 933.0405501572.

The spelling of 812272137 in words is "eight hundred twelve million, two hundred seventy-two thousand, one hundred thirty-seven".

Divisors: 1 3 31 37 93 111 113 339 1147 2089 3441 3503 4181 6267 10509 12543 64759 77293 129611 194277 231879 236057 388833 708171 2396083 7188249 7317767 8734109 21953301 26202327 270757379 812272137