Search a number
-
+
2121200209 is a prime number
BaseRepresentation
bin111111001101110…
…1111001001010001
312110211102010122201
41332123233021101
513321011401314
6550252403201
7103364622112
oct17633571121
95424363581
102121200209
119993a9127
124b2476501
1327a60166b
14161a08209
15c6353b74
hex7e6ef251

2121200209 has 2 divisors, whose sum is σ = 2121200210. Its totient is φ = 2121200208.

The previous prime is 2121200183. The next prime is 2121200293. The reversal of 2121200209 is 9020021212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1467273025 + 653927184 = 38305^2 + 25572^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121200209 - 29 = 2121199697 is a prime.

It is not a weakly prime, because it can be changed into another prime (2121200909) 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, 1060600104 + 1060600105.

It is an arithmetic number, because the mean of its divisors is an integer number (1060600105).

Almost surely, 22121200209 is an apocalyptic number.

It is an amenable number.

2121200209 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121200209 is an equidigital number, since it uses as much as digits as its factorization.

2121200209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 2121200209 is about 46056.4893256097. The cubic root of 2121200209 is about 1284.8740375250.

The spelling of 2121200209 in words is "two billion, one hundred twenty-one million, two hundred thousand, two hundred nine".