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214404301 is a prime number
BaseRepresentation
bin11001100011110…
…00110011001101
3112221102212102001
430301320303031
5414341414201
633135232301
75212256266
oct1461706315
9487385361
10214404301
11100031141
125b978691
133555b767
142069196d
1513c52301
hexcc78ccd

214404301 has 2 divisors, whose sum is σ = 214404302. Its totient is φ = 214404300.

The previous prime is 214404299. The next prime is 214404313. The reversal of 214404301 is 103404412.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 145082025 + 69322276 = 12045^2 + 8326^2 .

It is a cyclic number.

It is not a de Polignac number, because 214404301 - 21 = 214404299 is a prime.

It is a super-3 number, since 3×2144043013 (a number of 26 digits) contains 333 as substring.

Together with 214404299, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (214404331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107202150 + 107202151.

It is an arithmetic number, because the mean of its divisors is an integer number (107202151).

Almost surely, 2214404301 is an apocalyptic number.

It is an amenable number.

214404301 is a deficient number, since it is larger than the sum of its proper divisors (1).

214404301 is an equidigital number, since it uses as much as digits as its factorization.

214404301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 214404301 is about 14642.5510413999. The cubic root of 214404301 is about 598.5188475805.

Adding to 214404301 its reverse (103404412), we get a palindrome (317808713).

The spelling of 214404301 in words is "two hundred fourteen million, four hundred four thousand, three hundred one".