Search a number
-
+
211221323122109 is a prime number
BaseRepresentation
bin110000000001101011001011…
…111011110000010110111101
31000200212120011011210020221112
4300001223023323300112331
5210141122232204401414
62025121423011411405
762330144202143666
oct6001531373602675
91020776134706845
10211221323122109
1161335507412723
121b8341358b3b65
1390b211554c201
143a2324918236d
151964540b94d3e
hexc01acbef05bd

211221323122109 has 2 divisors, whose sum is σ = 211221323122110. Its totient is φ = 211221323122108.

The previous prime is 211221323122099. The next prime is 211221323122129. The reversal of 211221323122109 is 901221323122112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 137416420125625 + 73804902996484 = 11722475^2 + 8590978^2 .

It is a cyclic number.

It is not a de Polignac number, because 211221323122109 - 24 = 211221323122093 is a prime.

It is a super-2 number, since 2×2112213231221092 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211221323122129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105610661561054 + 105610661561055.

It is an arithmetic number, because the mean of its divisors is an integer number (105610661561055).

Almost surely, 2211221323122109 is an apocalyptic number.

It is an amenable number.

211221323122109 is a deficient number, since it is larger than the sum of its proper divisors (1).

211221323122109 is an equidigital number, since it uses as much as digits as its factorization.

211221323122109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 32.

The spelling of 211221323122109 in words is "two hundred eleven trillion, two hundred twenty-one billion, three hundred twenty-three million, one hundred twenty-two thousand, one hundred nine".