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212121300289 is a prime number
BaseRepresentation
bin1100010110001101101…
…0100010110101000001
3202021112002122112120011
43011203122202311001
511433411023102124
6241240331344521
721216364205623
oct3054332426501
9667462575504
10212121300289
1181a61a42548
123513abb2141
1317006644702
14a3a3c76c13
1557b76a5994
hex31636a2d41

212121300289 has 2 divisors, whose sum is σ = 212121300290. Its totient is φ = 212121300288.

The previous prime is 212121300269. The next prime is 212121300341. The reversal of 212121300289 is 982003121212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 133438245264 + 78683055025 = 365292^2 + 280505^2 .

It is a cyclic number.

It is not a de Polignac number, because 212121300289 - 27 = 212121300161 is a prime.

It is a super-2 number, since 2×2121213002892 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212121300289.

It is not a weakly prime, because it can be changed into another prime (212121300229) 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, 106060650144 + 106060650145.

It is an arithmetic number, because the mean of its divisors is an integer number (106060650145).

Almost surely, 2212121300289 is an apocalyptic number.

It is an amenable number.

212121300289 is a deficient number, since it is larger than the sum of its proper divisors (1).

212121300289 is an equidigital number, since it uses as much as digits as its factorization.

212121300289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 212121300289 in words is "two hundred twelve billion, one hundred twenty-one million, three hundred thousand, two hundred eighty-nine".