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165164301 = 3225577177
BaseRepresentation
bin10011101100000…
…11010100001101
3102111210012211100
421312003110031
5314240224201
624220013313
74043605401
oct1166032415
9374705740
10165164301
118525a425
1247391239
13282ab273
1417d15101
15e777886
hex9d8350d

165164301 has 12 divisors (see below), whose sum is σ = 238697212. Its totient is φ = 110051136.

The previous prime is 165164287. The next prime is 165164339. The reversal of 165164301 is 103461561.

165164301 is a `hidden beast` number, since 1 + 651 + 6 + 4 + 3 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 118788201 + 46376100 = 10899^2 + 6810^2 .

It is a de Polignac number, because none of the positive numbers 2k-165164301 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165164341) 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, 19425 + ... + 26601.

Almost surely, 2165164301 is an apocalyptic number.

It is an amenable number.

165164301 is a deficient number, since it is larger than the sum of its proper divisors (73532911).

165164301 is a wasteful number, since it uses less digits than its factorization.

165164301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9740 (or 9737 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 165164301 is about 12851.6263951299. The cubic root of 165164301 is about 548.6626472135.

The spelling of 165164301 in words is "one hundred sixty-five million, one hundred sixty-four thousand, three hundred one".

Divisors: 1 3 9 2557 7177 7671 21531 23013 64593 18351589 55054767 165164301