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212318257 is a prime number
BaseRepresentation
bin11001010011110…
…11100000110001
3112210111212220011
430221323200301
5413323141012
633022414521
75155450444
oct1451734061
9483455804
10212318257
11a9936938
125b131441
1334cab108
14202ab65b
151398e1a7
hexca7b831

212318257 has 2 divisors, whose sum is σ = 212318258. Its totient is φ = 212318256.

The previous prime is 212318207. The next prime is 212318263. The reversal of 212318257 is 752813212.

212318257 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., 211527936 + 790321 = 14544^2 + 889^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212318257 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (212318207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106159128 + 106159129.

It is an arithmetic number, because the mean of its divisors is an integer number (106159129).

Almost surely, 2212318257 is an apocalyptic number.

It is an amenable number.

212318257 is a deficient number, since it is larger than the sum of its proper divisors (1).

212318257 is an equidigital number, since it uses as much as digits as its factorization.

212318257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6720, while the sum is 31.

The square root of 212318257 is about 14571.1446702035. The cubic root of 212318257 is about 596.5714241342.

The spelling of 212318257 in words is "two hundred twelve million, three hundred eighteen thousand, two hundred fifty-seven".