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212592313 is a prime number
BaseRepresentation
bin11001010101111…
…10011010111001
3112211000210211101
430222332122321
5413410423223
633032331401
75161001443
oct1452763271
9484023741
10212592313
11aa00382a
125b243b61
1335075a8b
142033d493
15139e54ad
hexcabe6b9

212592313 has 2 divisors, whose sum is σ = 212592314. Its totient is φ = 212592312.

The previous prime is 212592307. The next prime is 212592319. The reversal of 212592313 is 313295212.

It is a balanced prime because it is at equal distance from previous prime (212592307) and next prime (212592319).

It can be written as a sum of positive squares in only one way, i.e., 118657449 + 93934864 = 10893^2 + 9692^2 .

It is a cyclic number.

It is not a de Polignac number, because 212592313 - 213 = 212584121 is a prime.

It is not a weakly prime, because it can be changed into another prime (212592319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106296156 + 106296157.

It is an arithmetic number, because the mean of its divisors is an integer number (106296157).

Almost surely, 2212592313 is an apocalyptic number.

It is an amenable number.

212592313 is a deficient number, since it is larger than the sum of its proper divisors (1).

212592313 is an equidigital number, since it uses as much as digits as its factorization.

212592313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3240, while the sum is 28.

The square root of 212592313 is about 14580.5457030936. The cubic root of 212592313 is about 596.8279944453.

The spelling of 212592313 in words is "two hundred twelve million, five hundred ninety-two thousand, three hundred thirteen".