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414331133 is a prime number
BaseRepresentation
bin11000101100100…
…011000011111101
31001212122012110112
4120230203003331
51322032044013
6105040315405
713160520326
oct3054430375
91055565415
10414331133
111a2974127
12b6912b65
1367abb668
143d05544d
1526594ba8
hex18b230fd

414331133 has 2 divisors, whose sum is σ = 414331134. Its totient is φ = 414331132.

The previous prime is 414331129. The next prime is 414331139. The reversal of 414331133 is 331133414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 273505444 + 140825689 = 16538^2 + 11867^2 .

It is a cyclic number.

It is not a de Polignac number, because 414331133 - 22 = 414331129 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 414331099 and 414331108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414331139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207165566 + 207165567.

It is an arithmetic number, because the mean of its divisors is an integer number (207165567).

Almost surely, 2414331133 is an apocalyptic number.

It is an amenable number.

414331133 is a deficient number, since it is larger than the sum of its proper divisors (1).

414331133 is an equidigital number, since it uses as much as digits as its factorization.

414331133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296, while the sum is 23.

The square root of 414331133 is about 20355.1254724701. The cubic root of 414331133 is about 745.5026459431.

Adding to 414331133 its reverse (331133414), we get a palindrome (745464547).

The spelling of 414331133 in words is "four hundred fourteen million, three hundred thirty-one thousand, one hundred thirty-three".