Search a number
-
+
2112003217 is a prime number
BaseRepresentation
bin111110111100010…
…1001110010010001
312110012002212202101
41331320221302101
513311133100332
6545323320401
7103223505532
oct17570516221
95405085671
102112003217
11994197305
124ab380101
1327873145c
141606d2689
15c5638ae7
hex7de29c91

2112003217 has 2 divisors, whose sum is σ = 2112003218. Its totient is φ = 2112003216.

The previous prime is 2112003199. The next prime is 2112003227. The reversal of 2112003217 is 7123002112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2109013776 + 2989441 = 45924^2 + 1729^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2112003217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2112003194 and 2112003203.

It is not a weakly prime, because it can be changed into another prime (2112003227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056001608 + 1056001609.

It is an arithmetic number, because the mean of its divisors is an integer number (1056001609).

Almost surely, 22112003217 is an apocalyptic number.

It is an amenable number.

2112003217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112003217 is an equidigital number, since it uses as much as digits as its factorization.

2112003217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 2112003217 is about 45956.5361727796. The cubic root of 2112003217 is about 1283.0143834272.

Adding to 2112003217 its reverse (7123002112), we get a palindrome (9235005329).

The spelling of 2112003217 in words is "two billion, one hundred twelve million, three thousand, two hundred seventeen".