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4114411201 is a prime number
BaseRepresentation
bin1111010100111100…
…1110111011000001
3101121201222202010001
43311033032323001
531411242124301
61520134040001
7203646626635
oct36517167301
911551882101
104114411201
11182152903a
12969aa9001
1350753c854
142b0616dc5
15191324c01
hexf53ceec1

4114411201 has 2 divisors, whose sum is σ = 4114411202. Its totient is φ = 4114411200.

The previous prime is 4114411193. The next prime is 4114411207. The reversal of 4114411201 is 1021144114.

4114411201 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4104324225 + 10086976 = 64065^2 + 3176^2 .

It is a cyclic number.

It is not a de Polignac number, because 4114411201 - 23 = 4114411193 is a prime.

It is not a weakly prime, because it can be changed into another prime (4114411207) 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 as a sum of consecutive naturals, namely, 2057205600 + 2057205601.

It is an arithmetic number, because the mean of its divisors is an integer number (2057205601).

Almost surely, 24114411201 is an apocalyptic number.

It is an amenable number.

4114411201 is a deficient number, since it is larger than the sum of its proper divisors (1).

4114411201 is an equidigital number, since it uses as much as digits as its factorization.

4114411201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 4114411201 is about 64143.6762354638. The cubic root of 4114411201 is about 1602.3937088597.

Adding to 4114411201 its reverse (1021144114), we get a palindrome (5135555315).

The spelling of 4114411201 in words is "four billion, one hundred fourteen million, four hundred eleven thousand, two hundred one".