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213065819 is a prime number
BaseRepresentation
bin11001011001100…
…10000001011011
3112211220212100122
430230302001123
5414021101234
633050423455
75165013101
oct1454620133
9484825318
10213065819
11aa2a755a
125b431b8b
13351b0465
1420423c71
1513a8a92e
hexcb3205b

213065819 has 2 divisors, whose sum is σ = 213065820. Its totient is φ = 213065818.

The previous prime is 213065773. The next prime is 213065843. The reversal of 213065819 is 918560312.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213065819 is a prime.

It is a super-2 number, since 2×2130658192 = 90794086452281522, which contains 22 as substring.

It is a Chen prime.

It is equal to p11761469 and since 213065819 and 11761469 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (213065849) 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, 106532909 + 106532910.

It is an arithmetic number, because the mean of its divisors is an integer number (106532910).

Almost surely, 2213065819 is an apocalyptic number.

213065819 is a deficient number, since it is larger than the sum of its proper divisors (1).

213065819 is an equidigital number, since it uses as much as digits as its factorization.

213065819 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 213065819 is about 14596.7742669399. The cubic root of 213065819 is about 597.2707700707.

The spelling of 213065819 in words is "two hundred thirteen million, sixty-five thousand, eight hundred nineteen".