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811134135 = 33577331171
BaseRepresentation
bin110000010110001…
…110110010110111
32002112021212212000
4300112032302313
53130122243020
6212253230343
726046345360
oct6026166267
92075255760
10811134135
11386956099
121a77923b3
13cc080a36
1479a26b67
154b326090
hex3058ecb7

811134135 has 64 divisors (see below), whose sum is σ = 1651676160. Its totient is φ = 369982080.

The previous prime is 811134113. The next prime is 811134143. The reversal of 811134135 is 531431118.

It is not a de Polignac number, because 811134135 - 215 = 811101367 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 811134099 and 811134108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 692100 + ... + 693270.

It is an arithmetic number, because the mean of its divisors is an integer number (25807440).

Almost surely, 2811134135 is an apocalyptic number.

811134135 is an abundant number, since it is smaller than the sum of its proper divisors (840542025).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

811134135 is a wasteful number, since it uses less digits than its factorization.

811134135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1925 (or 1919 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 811134135 is about 28480.4166928786. The cubic root of 811134135 is about 932.6046132278.

The spelling of 811134135 in words is "eight hundred eleven million, one hundred thirty-four thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 733 945 1171 2199 3513 3665 5131 5855 6597 8197 10539 10995 15393 17565 19791 24591 25655 31617 32985 40985 46179 52695 73773 76965 98955 122955 138537 158085 221319 230895 368865 692685 858343 1106595 2575029 4291715 6008401 7725087 12875145 18025203 23175261 30042005 38625435 54075609 90126015 115876305 162226827 270378045 811134135