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414134213 is a prime number
BaseRepresentation
bin11000101011110…
…010111111000101
31001212021012100012
4120223302333011
51322004243323
6105032200005
713156040243
oct3053627705
91055235305
10414134213
111a284a189
12b6839005
1367a4cb3c
143d003793
1526556678
hex18af2fc5

414134213 has 2 divisors, whose sum is σ = 414134214. Its totient is φ = 414134212.

The previous prime is 414134197. The next prime is 414134233. The reversal of 414134213 is 312431414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 305620324 + 108513889 = 17482^2 + 10417^2 .

It is a cyclic number.

It is not a de Polignac number, because 414134213 - 24 = 414134197 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414134233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207067106 + 207067107.

It is an arithmetic number, because the mean of its divisors is an integer number (207067107).

Almost surely, 2414134213 is an apocalyptic number.

It is an amenable number.

414134213 is a deficient number, since it is larger than the sum of its proper divisors (1).

414134213 is an equidigital number, since it uses as much as digits as its factorization.

414134213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1152, while the sum is 23.

The square root of 414134213 is about 20350.2877866629. The cubic root of 414134213 is about 745.3845217080.

Adding to 414134213 its reverse (312431414), we get a palindrome (726565627).

The spelling of 414134213 in words is "four hundred fourteen million, one hundred thirty-four thousand, two hundred thirteen".