Search a number
-
+
2100022217 is a prime number
BaseRepresentation
bin111110100101011…
…1100101111001001
312102100120011220122
41331022330233021
513300101202332
6544214433025
7103016615516
oct17512745711
95370504818
102100022217
11988453857
124a7362775
132760c7cc7
1415cc9430d
15c456dc12
hex7d2bcbc9

2100022217 has 2 divisors, whose sum is σ = 2100022218. Its totient is φ = 2100022216.

The previous prime is 2100022201. The next prime is 2100022229. The reversal of 2100022217 is 7122200012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1069355401 + 1030666816 = 32701^2 + 32104^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100022217 - 24 = 2100022201 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2100022195 and 2100022204.

It is not a weakly prime, because it can be changed into another prime (2100022237) 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, 1050011108 + 1050011109.

It is an arithmetic number, because the mean of its divisors is an integer number (1050011109).

Almost surely, 22100022217 is an apocalyptic number.

It is an amenable number.

2100022217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100022217 is an equidigital number, since it uses as much as digits as its factorization.

2100022217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 2100022217 is about 45825.9993562606. Note that the first 3 decimals coincide. The cubic root of 2100022217 is about 1280.5836809442.

Adding to 2100022217 its reverse (7122200012), we get a palindrome (9222222229).

The spelling of 2100022217 in words is "two billion, one hundred million, twenty-two thousand, two hundred seventeen".