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211213333021 is a prime number
BaseRepresentation
bin1100010010110101001…
…0111011001000011101
3202012011211011000121211
43010231102323020131
511430031103124041
6241010254424421
721155030465005
oct3045522731035
9665154130554
10211213333021
1181636469279
1234b26b02111
1316bc04bb782
14a319445005
155762b03481
hex312d4bb21d

211213333021 has 2 divisors, whose sum is σ = 211213333022. Its totient is φ = 211213333020.

The previous prime is 211213333003. The next prime is 211213333043. The reversal of 211213333021 is 120333312112.

211213333021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (211213333043) can be obtained adding 211213333021 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110746521796 + 100466811225 = 332786^2 + 316965^2 .

It is a cyclic number.

It is not a de Polignac number, because 211213333021 - 219 = 211212808733 is a prime.

It is a super-2 number, since 2×2112133330212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211213332983 and 211213333001.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211213333061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105606666510 + 105606666511.

It is an arithmetic number, because the mean of its divisors is an integer number (105606666511).

Almost surely, 2211213333021 is an apocalyptic number.

It is an amenable number.

211213333021 is a deficient number, since it is larger than the sum of its proper divisors (1).

211213333021 is an equidigital number, since it uses as much as digits as its factorization.

211213333021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 211213333021 its reverse (120333312112), we get a palindrome (331546645133).

The spelling of 211213333021 in words is "two hundred eleven billion, two hundred thirteen million, three hundred thirty-three thousand, twenty-one".