Search a number
-
+
211221211120109 is a prime number
BaseRepresentation
bin110000000001101011000101…
…010000100000000111101101
31000200212112212101000222002022
4300001223011100200013231
5210141122020021320414
62025121403531035525
762330141342143361
oct6001530520400755
91020775771028068
10211221211120109
116133545a173993
121b83410429bba5
1390b20c8295838
143a232383492a1
151964535e1e18e
hexc01ac54201ed

211221211120109 has 2 divisors, whose sum is σ = 211221211120110. Its totient is φ = 211221211120108.

The previous prime is 211221211120103. The next prime is 211221211120217. The reversal of 211221211120109 is 901021112122112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 197515000324009 + 13706210796100 = 14054003^2 + 3702190^2 .

It is a cyclic number.

It is not a de Polignac number, because 211221211120109 - 24 = 211221211120093 is a prime.

It is a super-2 number, since 2×2112212111201092 (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 (211221211120103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105610605560054 + 105610605560055.

It is an arithmetic number, because the mean of its divisors is an integer number (105610605560055).

Almost surely, 2211221211120109 is an apocalyptic number.

It is an amenable number.

211221211120109 is a deficient number, since it is larger than the sum of its proper divisors (1).

211221211120109 is an equidigital number, since it uses as much as digits as its factorization.

211221211120109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 26.

The spelling of 211221211120109 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred eleven million, one hundred twenty thousand, one hundred nine".