Search a number
-
+
21202212111097 is a prime number
BaseRepresentation
bin1001101001000100001100…
…10100100100001011111001
32210001220121121122111120211
410310202012110210023321
510234334112300023342
6113032054535551121
74315544403245263
oct464420624441371
983056547574524
1021202212111097
116834897aa5a16
122465169b2b4a1
13baa48ac80804
1453429a496b33
1526b7b8d81c17
hex1348865242f9

21202212111097 has 2 divisors, whose sum is σ = 21202212111098. Its totient is φ = 21202212111096.

The previous prime is 21202212110939. The next prime is 21202212111127. The reversal of 21202212111097 is 79011121220212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10805611521721 + 10396600589376 = 3287189^2 + 3224376^2 .

It is a cyclic number.

It is not a de Polignac number, because 21202212111097 - 223 = 21202203722489 is a prime.

It is a super-3 number, since 3×212022121110973 (a number of 41 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (21202212111497) 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, 10601106055548 + 10601106055549.

It is an arithmetic number, because the mean of its divisors is an integer number (10601106055549).

Almost surely, 221202212111097 is an apocalyptic number.

It is an amenable number.

21202212111097 is a deficient number, since it is larger than the sum of its proper divisors (1).

21202212111097 is an equidigital number, since it uses as much as digits as its factorization.

21202212111097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 31.

The spelling of 21202212111097 in words is "twenty-one trillion, two hundred two billion, two hundred twelve million, one hundred eleven thousand, ninety-seven".