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213364117 is a prime number
BaseRepresentation
bin11001011011110…
…10110110010101
3112212111000112201
430231322312111
5414110122432
633101044501
75200364551
oct1455726625
9485430481
10213364117
11aa49068a
125b556731
1335286175
14204a0861
1513ae8ee7
hexcb7ad95

213364117 has 2 divisors, whose sum is σ = 213364118. Its totient is φ = 213364116.

The previous prime is 213364037. The next prime is 213364133. The reversal of 213364117 is 711463312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 166564836 + 46799281 = 12906^2 + 6841^2 .

It is a cyclic number.

It is not a de Polignac number, because 213364117 - 211 = 213362069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213364517) 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, 106682058 + 106682059.

It is an arithmetic number, because the mean of its divisors is an integer number (106682059).

Almost surely, 2213364117 is an apocalyptic number.

It is an amenable number.

213364117 is a deficient number, since it is larger than the sum of its proper divisors (1).

213364117 is an equidigital number, since it uses as much as digits as its factorization.

213364117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3024, while the sum is 28.

The square root of 213364117 is about 14606.9886355813. The cubic root of 213364117 is about 597.5493719232.

The spelling of 213364117 in words is "two hundred thirteen million, three hundred sixty-four thousand, one hundred seventeen".