Search a number
-
+
214514024117 is a prime number
BaseRepresentation
bin1100011111001000001…
…0000011111010110101
3202111200211222111121012
43013302002003322311
512003311042232432
6242314004002005
721332600056061
oct3076202037265
9674624874535
10214514024117
1182a7a635358
12356a8390305
13172c8283523
14a54d960aa1
1558a7790cb2
hex31f2083eb5

214514024117 has 2 divisors, whose sum is σ = 214514024118. Its totient is φ = 214514024116.

The previous prime is 214514024089. The next prime is 214514024141. The reversal of 214514024117 is 711420415412.

214514024117 is digitally balanced in base 2, 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., 191529644881 + 22984379236 = 437641^2 + 151606^2 .

It is a cyclic number.

It is not a de Polignac number, because 214514024117 - 226 = 214446915253 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (214514024717) 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, 107257012058 + 107257012059.

It is an arithmetic number, because the mean of its divisors is an integer number (107257012059).

Almost surely, 2214514024117 is an apocalyptic number.

It is an amenable number.

214514024117 is a deficient number, since it is larger than the sum of its proper divisors (1).

214514024117 is an equidigital number, since it uses as much as digits as its factorization.

214514024117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8960, while the sum is 32.

Adding to 214514024117 its reverse (711420415412), we get a palindrome (925934439529).

The spelling of 214514024117 in words is "two hundred fourteen billion, five hundred fourteen million, twenty-four thousand, one hundred seventeen".