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31059009 = 3226912829
BaseRepresentation
bin111011001111…
…0110001000001
32011102221221200
41312132301001
530422342014
63025411413
7524666022
oct166366101
964387850
1031059009
1116594103
12a499b69
136586017
1441a6c49
152ad7a09
hex1d9ec41

31059009 has 12 divisors (see below), whose sum is σ = 45033300. Its totient is φ = 20627424.

The previous prime is 31058981. The next prime is 31059013. The reversal of 31059009 is 90095013.

It can be written as a sum of positive squares in 2 ways, for example, as 12110400 + 18948609 = 3480^2 + 4353^2 .

It is a de Polignac number, because none of the positive numbers 2k-31059009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31059019) 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 11 ways as a sum of consecutive naturals, for example, 3994 + ... + 8835.

It is an arithmetic number, because the mean of its divisors is an integer number (3752775).

Almost surely, 231059009 is an apocalyptic number.

It is an amenable number.

31059009 is a deficient number, since it is larger than the sum of its proper divisors (13974291).

31059009 is a wasteful number, since it uses less digits than its factorization.

31059009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13104 (or 13101 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 27.

The square root of 31059009 is about 5573.0610080996. The cubic root of 31059009 is about 314.3372611930.

It can be divided in two parts, 310 and 59009, that added together give a cube (59319 = 393).

The spelling of 31059009 in words is "thirty-one million, fifty-nine thousand, nine".

Divisors: 1 3 9 269 807 2421 12829 38487 115461 3451001 10353003 31059009