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213414241 is a prime number
BaseRepresentation
bin11001011100001…
…11000101100001
3112212120120022011
430232013011201
5414113223431
633102112521
75200663645
oct1456070541
9485516264
10213414241
11aa515307
125b57b741
13352a2c21
14204b4c25
1513b08cb1
hexcb87161

213414241 has 2 divisors, whose sum is σ = 213414242. Its totient is φ = 213414240.

The previous prime is 213414239. The next prime is 213414247. The reversal of 213414241 is 142414312.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 137358400 + 76055841 = 11720^2 + 8721^2 .

It is a cyclic number.

It is not a de Polignac number, because 213414241 - 21 = 213414239 is a prime.

Together with 213414239, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (213414247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106707120 + 106707121.

It is an arithmetic number, because the mean of its divisors is an integer number (106707121).

Almost surely, 2213414241 is an apocalyptic number.

It is an amenable number.

213414241 is a deficient number, since it is larger than the sum of its proper divisors (1).

213414241 is an equidigital number, since it uses as much as digits as its factorization.

213414241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 768, while the sum is 22.

The square root of 213414241 is about 14608.7042888820. The cubic root of 213414241 is about 597.5961608273.

Adding to 213414241 its reverse (142414312), we get a palindrome (355828553).

The spelling of 213414241 in words is "two hundred thirteen million, four hundred fourteen thousand, two hundred forty-one".