Search a number
-
+
2112121201 is a prime number
BaseRepresentation
bin111110111100100…
…0110100101110001
312110012022212121011
41331321012211301
513311200334301
6545330030521
7103224506521
oct17571064561
95405285534
102112121201
11994267a13
124ab418441
13278773078
14160723681
15c565da51
hex7de46971

2112121201 has 2 divisors, whose sum is σ = 2112121202. Its totient is φ = 2112121200.

The previous prime is 2112121181. The next prime is 2112121213. The reversal of 2112121201 is 1021212112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1994962225 + 117158976 = 44665^2 + 10824^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112121201 - 213 = 2112113009 is a prime.

It is a super-2 number, since 2×21121212012 = 8922111935427364802, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2112121241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056060600 + 1056060601.

It is an arithmetic number, because the mean of its divisors is an integer number (1056060601).

Almost surely, 22112121201 is an apocalyptic number.

It is an amenable number.

2112121201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112121201 is an equidigital number, since it uses as much as digits as its factorization.

2112121201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 2112121201 is about 45957.8198025102. The cubic root of 2112121201 is about 1283.0382742289.

Adding to 2112121201 its reverse (1021212112), we get a palindrome (3133333313).

The spelling of 2112121201 in words is "two billion, one hundred twelve million, one hundred twenty-one thousand, two hundred one".