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165216320001 = 3319132037293
BaseRepresentation
bin1001100111011110101…
…0001111101000000001
3120210110012122122211000
42121313222033220001
510201330334220001
6203522131042213
714636133356145
oct2316752175001
9523405578730
10165216320001
116408233a627
122802a740369
131276cb77bc5
147dd4605225
15446e8c3a86
hex2677a8fa01

165216320001 has 16 divisors (see below), whose sum is σ = 246046417920. Its totient is φ = 109567538640.

The previous prime is 165216319987. The next prime is 165216320011. The reversal of 165216320001 is 100023612561.

165216320001 is a `hidden beast` number, since 1 + 6 + 5 + 21 + 632 + 0 + 0 + 0 + 1 = 666.

165216320001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 165216320001 - 215 = 165216287233 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (165216320011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16013490 + ... + 16023803.

It is an arithmetic number, because the mean of its divisors is an integer number (15377901120).

Almost surely, 2165216320001 is an apocalyptic number.

It is an amenable number.

165216320001 is a deficient number, since it is larger than the sum of its proper divisors (80830097919).

165216320001 is a wasteful number, since it uses less digits than its factorization.

165216320001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32037493 (or 32037487 counting only the distinct ones).

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

Adding to 165216320001 its reverse (100023612561), we get a palindrome (265239932562).

The spelling of 165216320001 in words is "one hundred sixty-five billion, two hundred sixteen million, three hundred twenty thousand, one".

Divisors: 1 3 9 27 191 573 1719 5157 32037293 96111879 288335637 865006911 6119122963 18357368889 55072106667 165216320001