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213689200213 is a prime number
BaseRepresentation
bin1100011100000011011…
…1100110111001010101
3202102120100221002220201
43013000313212321111
512000113413401323
6242100101100501
721303263142466
oct3070067467125
9672510832821
10213689200213
1182696a89a05
12354b80b7731
13171c641b648
14a4b21b2d6d
15585a1638ad
hex31c0de6e55

213689200213 has 2 divisors, whose sum is σ = 213689200214. Its totient is φ = 213689200212.

The previous prime is 213689200121. The next prime is 213689200261. The reversal of 213689200213 is 312002986312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 129529449604 + 84159750609 = 359902^2 + 290103^2 .

It is a cyclic number.

It is not a de Polignac number, because 213689200213 - 213 = 213689192021 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213689200273) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106844600106 + 106844600107.

It is an arithmetic number, because the mean of its divisors is an integer number (106844600107).

Almost surely, 2213689200213 is an apocalyptic number.

It is an amenable number.

213689200213 is a deficient number, since it is larger than the sum of its proper divisors (1).

213689200213 is an equidigital number, since it uses as much as digits as its factorization.

213689200213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 213689200213 in words is "two hundred thirteen billion, six hundred eighty-nine million, two hundred thousand, two hundred thirteen".