Search a number
-
+
22112121102809 is a prime number
BaseRepresentation
bin1010000011100011000010…
…00111111010000111011001
32220021220020201221112001012
411001301201013322013121
510344241111000242214
6115010100155303305
74441355655125423
oct501614107720731
986256221845035
1022112121102809
11705577499a961
12259158874ab35
13c4521961120a
145663378b1813
152852c129103e
hex141c611fa1d9

22112121102809 has 2 divisors, whose sum is σ = 22112121102810. Its totient is φ = 22112121102808.

The previous prime is 22112121102779. The next prime is 22112121102829. The reversal of 22112121102809 is 90820112121122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20421614064784 + 1690507038025 = 4519028^2 + 1300195^2 .

It is a cyclic number.

It is not a de Polignac number, because 22112121102809 - 224 = 22112104325593 is a prime.

It is a super-2 number, since 2×221121211028092 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (22112121102829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11056060551404 + 11056060551405.

It is an arithmetic number, because the mean of its divisors is an integer number (11056060551405).

Almost surely, 222112121102809 is an apocalyptic number.

It is an amenable number.

22112121102809 is a deficient number, since it is larger than the sum of its proper divisors (1).

22112121102809 is an equidigital number, since it uses as much as digits as its factorization.

22112121102809 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 32.

The spelling of 22112121102809 in words is "twenty-two trillion, one hundred twelve billion, one hundred twenty-one million, one hundred two thousand, eight hundred nine".