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209829351013 is a prime number
BaseRepresentation
bin1100001101101011001…
…1011100111001100101
3202001121100221110012221
43003122303130321211
511414212303213023
6240221055112341
721105524025022
oct3033263347145
9661540843187
10209829351013
1180a96220097
12347bb5126b1
1316a2c85aac9
14a227702549
1556d137485d
hex30dacdce65

209829351013 has 2 divisors, whose sum is σ = 209829351014. Its totient is φ = 209829351012.

The previous prime is 209829350993. The next prime is 209829351029. The reversal of 209829351013 is 310153928902.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 208608687169 + 1220663844 = 456737^2 + 34938^2 .

It is a cyclic number.

It is not a de Polignac number, because 209829351013 - 25 = 209829350981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (209829351073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 104914675506 + 104914675507.

It is an arithmetic number, because the mean of its divisors is an integer number (104914675507).

Almost surely, 2209829351013 is an apocalyptic number.

It is an amenable number.

209829351013 is a deficient number, since it is larger than the sum of its proper divisors (1).

209829351013 is an equidigital number, since it uses as much as digits as its factorization.

209829351013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 116640, while the sum is 43.

The spelling of 209829351013 in words is "two hundred nine billion, eight hundred twenty-nine million, three hundred fifty-one thousand, thirteen".