Search a number
-
+
22100000110217 is a prime number
BaseRepresentation
bin1010000011001100011101…
…01001111111011010001001
32220020201222000011022001122
411001212032221333122021
510344041300012011332
6115000333324325025
74440446414314541
oct501461651773211
986221860138048
1022100000110217
117050614a09807
12258b1653a3775
13c44037395a53
14565907b9a321
15284d120c0c12
hex14198ea7f689

22100000110217 has 2 divisors, whose sum is σ = 22100000110218. Its totient is φ = 22100000110216.

The previous prime is 22100000110187. The next prime is 22100000110247. The reversal of 22100000110217 is 71201100000122.

It is a balanced prime because it is at equal distance from previous prime (22100000110187) and next prime (22100000110247).

It can be written as a sum of positive squares in only one way, i.e., 20022931140601 + 2077068969616 = 4474699^2 + 1441204^2 .

It is a cyclic number.

It is not a de Polignac number, because 22100000110217 - 210 = 22100000109193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22100000110195 and 22100000110204.

It is not a weakly prime, because it can be changed into another prime (22100000110247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050000055108 + 11050000055109.

It is an arithmetic number, because the mean of its divisors is an integer number (11050000055109).

Almost surely, 222100000110217 is an apocalyptic number.

It is an amenable number.

22100000110217 is a deficient number, since it is larger than the sum of its proper divisors (1).

22100000110217 is an equidigital number, since it uses as much as digits as its factorization.

22100000110217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 17.

Adding to 22100000110217 its reverse (71201100000122), we get a palindrome (93301100110339).

The spelling of 22100000110217 in words is "twenty-two trillion, one hundred billion, one hundred ten thousand, two hundred seventeen".