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415106161 is a prime number
BaseRepresentation
bin11000101111100…
…000010001110001
31001221002120121021
4120233200101301
51322231344121
6105105055441
713200226021
oct3057402161
91057076537
10415106161
111a3353448
12b7027581
1368000362
143d1b7a81
1526699641
hex18be0471

415106161 has 2 divisors, whose sum is σ = 415106162. Its totient is φ = 415106160.

The previous prime is 415106141. The next prime is 415106173. The reversal of 415106161 is 161601514.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 220671025 + 194435136 = 14855^2 + 13944^2 .

It is a cyclic number.

It is not a de Polignac number, because 415106161 - 217 = 414975089 is a prime.

It is not a weakly prime, because it can be changed into another prime (415106141) 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 as a sum of consecutive naturals, namely, 207553080 + 207553081.

It is an arithmetic number, because the mean of its divisors is an integer number (207553081).

Almost surely, 2415106161 is an apocalyptic number.

It is an amenable number.

415106161 is a deficient number, since it is larger than the sum of its proper divisors (1).

415106161 is an equidigital number, since it uses as much as digits as its factorization.

415106161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 415106161 is about 20374.1542401151. The cubic root of 415106161 is about 745.9671902760.

Adding to 415106161 its reverse (161601514), we get a palindrome (576707675).

The spelling of 415106161 in words is "four hundred fifteen million, one hundred six thousand, one hundred sixty-one".