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803135333 = 721113611879
BaseRepresentation
bin101111110111101…
…101111101100101
32001222020111120002
4233313231331211
53121100312313
6211405551045
725621352300
oct5767557545
92058214502
10803135333
11382392510
121a4b75485
13ca510010
1478943b37
154a796058
hex2fdedf65

803135333 has 48 divisors (see below), whose sum is σ = 1116178560. Its totient is φ = 567907200.

The previous prime is 803135323. The next prime is 803135353. The reversal of 803135333 is 333531308.

It is not a de Polignac number, because 803135333 - 216 = 803069797 is a prime.

It is a super-2 number, since 2×8031353332 = 1290052726226041778, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 803135296 and 803135305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803135303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 426488 + ... + 428366.

It is an arithmetic number, because the mean of its divisors is an integer number (23253720).

Almost surely, 2803135333 is an apocalyptic number.

It is an amenable number.

803135333 is a deficient number, since it is larger than the sum of its proper divisors (313043227).

803135333 is a wasteful number, since it uses less digits than its factorization.

803135333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1978 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 29.

The square root of 803135333 is about 28339.6424289369. The cubic root of 803135333 is about 929.5289297350.

The spelling of 803135333 in words is "eight hundred three million, one hundred thirty-five thousand, three hundred thirty-three".

Divisors: 1 7 11 13 49 61 77 91 143 427 539 637 671 793 1001 1879 2989 4697 5551 7007 8723 13153 20669 24427 32879 38857 61061 92071 114619 144683 170989 268697 427427 802333 1012781 1196923 1260809 1490047 1880879 5616331 8825663 10430329 13166153 16390517 61779641 73012303 114733619 803135333