Search a number
-
+
212142113 is a prime number
BaseRepresentation
bin11001010010100…
…00100000100001
3112210011221021022
430221100200201
5413302021423
633014535225
75154115061
oct1451204041
9483157238
10212142113
11a9826567
125b067515
1334c48ba1
14202633a1
1513956dc8
hexca50821

212142113 has 2 divisors, whose sum is σ = 212142114. Its totient is φ = 212142112.

The previous prime is 212142109. The next prime is 212142121. The reversal of 212142113 is 311241212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 180015889 + 32126224 = 13417^2 + 5668^2 .

It is a cyclic number.

It is not a de Polignac number, because 212142113 - 22 = 212142109 is a prime.

It is a super-2 number, since 2×2121421132 = 90008552216209538, which contains 22 as substring.

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 = 212142091 and 212142100.

It is not a weakly prime, because it can be changed into another prime (212142313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106071056 + 106071057.

It is an arithmetic number, because the mean of its divisors is an integer number (106071057).

Almost surely, 2212142113 is an apocalyptic number.

It is an amenable number.

212142113 is a deficient number, since it is larger than the sum of its proper divisors (1).

212142113 is an equidigital number, since it uses as much as digits as its factorization.

212142113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 96, while the sum is 17.

The square root of 212142113 is about 14565.0991414408. The cubic root of 212142113 is about 596.4064021346.

Adding to 212142113 its reverse (311241212), we get a palindrome (523383325).

Subtracting 212142113 from its reverse (311241212), we obtain a palindrome (99099099).

The spelling of 212142113 in words is "two hundred twelve million, one hundred forty-two thousand, one hundred thirteen".