Search a number
-
+
414032030213 is a prime number
BaseRepresentation
bin1100000011001100011…
…10110110101000000101
31110120200121022100202112
412001212032312220011
523240414144431323
6514111555150405
741625046122044
oct6014616665005
91416617270675
10414032030213
1114a65431838a
12682aa5a5405
13300737832b9
1416079a1655b
15ab83757178
hex60663b6a05

414032030213 has 2 divisors, whose sum is σ = 414032030214. Its totient is φ = 414032030212.

The previous prime is 414032030147. The next prime is 414032030221. The reversal of 414032030213 is 312030230414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 413600761924 + 431268289 = 643118^2 + 20767^2 .

It is a cyclic number.

It is not a de Polignac number, because 414032030213 - 218 = 414031768069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414032030273) 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, 207016015106 + 207016015107.

It is an arithmetic number, because the mean of its divisors is an integer number (207016015107).

Almost surely, 2414032030213 is an apocalyptic number.

It is an amenable number.

414032030213 is a deficient number, since it is larger than the sum of its proper divisors (1).

414032030213 is an equidigital number, since it uses as much as digits as its factorization.

414032030213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 414032030213 its reverse (312030230414), we get a palindrome (726062260627).

The spelling of 414032030213 in words is "four hundred fourteen billion, thirty-two million, thirty thousand, two hundred thirteen".