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213096953 is a prime number
BaseRepresentation
bin11001011001110…
…01100111111001
3112211222110001202
430230321213321
5414023100303
633051223545
75165202626
oct1454714771
9484873052
10213096953
11aa318993
125b447bb5
13351c1694
142043134d
1513a94c88
hexcb399f9

213096953 has 2 divisors, whose sum is σ = 213096954. Its totient is φ = 213096952.

The previous prime is 213096943. The next prime is 213096977. The reversal of 213096953 is 359690312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 194546704 + 18550249 = 13948^2 + 4307^2 .

It is a cyclic number.

It is not a de Polignac number, because 213096953 - 210 = 213095929 is a prime.

It is a super-2 number, since 2×2130969532 = 90820622755768418, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (213096943) 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, 106548476 + 106548477.

It is an arithmetic number, because the mean of its divisors is an integer number (106548477).

Almost surely, 2213096953 is an apocalyptic number.

It is an amenable number.

213096953 is a deficient number, since it is larger than the sum of its proper divisors (1).

213096953 is an equidigital number, since it uses as much as digits as its factorization.

213096953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43740, while the sum is 38.

The square root of 213096953 is about 14597.8406964866. The cubic root of 213096953 is about 597.2998604907.

The spelling of 213096953 in words is "two hundred thirteen million, ninety-six thousand, nine hundred fifty-three".