Search a number
-
+
2002111101217 is a prime number
BaseRepresentation
bin11101001000100111000…
…111101111100100100001
321002101210120020220102001
4131020213013233210201
5230300310420214332
64131431313124001
7264435115366063
oct35104707574441
97071716226361
102002111101217
117020aa581437
12284032b59601
13116a4ba3b0a6
146cc8cdc9733
153712d4d90e7
hex1d2271ef921

2002111101217 has 2 divisors, whose sum is σ = 2002111101218. Its totient is φ = 2002111101216.

The previous prime is 2002111101187. The next prime is 2002111101229. The reversal of 2002111101217 is 7121011112002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1254308161681 + 747802939536 = 1119959^2 + 864756^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002111101217 - 215 = 2002111068449 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2002111101194 and 2002111101203.

It is not a weakly prime, because it can be changed into another prime (2002111101517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001055550608 + 1001055550609.

It is an arithmetic number, because the mean of its divisors is an integer number (1001055550609).

Almost surely, 22002111101217 is an apocalyptic number.

It is an amenable number.

2002111101217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002111101217 is an equidigital number, since it uses as much as digits as its factorization.

2002111101217 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 19.

Adding to 2002111101217 its reverse (7121011112002), we get a palindrome (9123122213219).

The spelling of 2002111101217 in words is "two trillion, two billion, one hundred eleven million, one hundred one thousand, two hundred seventeen".