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213104200109 is a prime number
BaseRepresentation
bin1100011001111000000…
…0000000100110101101
3202101001121011000122012
43012132000000212231
511442414133400414
6241522042331005
721252630546023
oct3063600004655
9671047130565
10213104200109
1182416846749
12353741b9a65
1317132175338
14a458612713
155823b0a33e
hex319e0009ad

213104200109 has 2 divisors, whose sum is σ = 213104200110. Its totient is φ = 213104200108.

The previous prime is 213104200093. The next prime is 213104200121. The reversal of 213104200109 is 901002401312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 174999988900 + 38104211209 = 418330^2 + 195203^2 .

It is a cyclic number.

It is not a de Polignac number, because 213104200109 - 24 = 213104200093 is a prime.

It is a super-3 number, since 3×2131042001093 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213104200129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106552100054 + 106552100055.

It is an arithmetic number, because the mean of its divisors is an integer number (106552100055).

Almost surely, 2213104200109 is an apocalyptic number.

It is an amenable number.

213104200109 is a deficient number, since it is larger than the sum of its proper divisors (1).

213104200109 is an equidigital number, since it uses as much as digits as its factorization.

213104200109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

The spelling of 213104200109 in words is "two hundred thirteen billion, one hundred four million, two hundred thousand, one hundred nine".