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213331007 is a prime number
BaseRepresentation
bin11001011011100…
…10110000111111
3112212102100010102
430231302300333
5414103043012
633100231315
75200166201
oct1455626077
9485370112
10213331007
11aa46881a
125b53b53b
1335274086
1420492771
1513ade2c2
hexcb72c3f

213331007 has 2 divisors, whose sum is σ = 213331008. Its totient is φ = 213331006.

The previous prime is 213330959. The next prime is 213331037. The reversal of 213331007 is 700133312.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 213331007 - 28 = 213330751 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 213331007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213331037) 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, 106665503 + 106665504.

It is an arithmetic number, because the mean of its divisors is an integer number (106665504).

Almost surely, 2213331007 is an apocalyptic number.

213331007 is a deficient number, since it is larger than the sum of its proper divisors (1).

213331007 is an equidigital number, since it uses as much as digits as its factorization.

213331007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 20.

The square root of 213331007 is about 14605.8552300096. The cubic root of 213331007 is about 597.5184609411.

Adding to 213331007 its reverse (700133312), we get a palindrome (913464319).

The spelling of 213331007 in words is "two hundred thirteen million, three hundred thirty-one thousand, seven".