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165350331 = 3219966961
BaseRepresentation
bin10011101101100…
…00101110111011
3102112010200000100
421312300232323
5314312202311
624224010443
74045311636
oct1166605673
9375120010
10165350331
1185377173
1247460a23
1328344b43
1417d62c1d
15e7b2a56
hex9db0bbb

165350331 has 12 divisors (see below), whose sum is σ = 251410120. Its totient is φ = 104431680.

The previous prime is 165350323. The next prime is 165350333. The reversal of 165350331 is 133053561.

165350331 is a `hidden beast` number, since 1 + 653 + 5 + 0 + 3 + 3 + 1 = 666.

It is not a de Polignac number, because 165350331 - 23 = 165350323 is a prime.

It is a super-2 number, since 2×1653503312 = 54681463923619122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 165350295 and 165350304.

It is not an unprimeable number, because it can be changed into a prime (165350333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 483310 + ... + 483651.

Almost surely, 2165350331 is an apocalyptic number.

165350331 is a deficient number, since it is larger than the sum of its proper divisors (86059789).

165350331 is a wasteful number, since it uses less digits than its factorization.

165350331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966986 (or 966983 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 165350331 is about 12858.8619636420. The cubic root of 165350331 is about 548.8685622022.

It can be divided in two parts, 1653 and 50331, that added together give a square (51984 = 2282).

The spelling of 165350331 in words is "one hundred sixty-five million, three hundred fifty thousand, three hundred thirty-one".

Divisors: 1 3 9 19 57 171 966961 2900883 8702649 18372259 55116777 165350331