Search a number
-
+
2120221261 is a prime number
BaseRepresentation
bin111111001100000…
…0000001001001101
312110202120101210101
41332120000021031
513320234040021
6550215411101
7103353404044
oct17630001115
95422511711
102120221261
1199889a684
124b2083a91
1327a34abc2
1416183155b
15c620da91
hex7e60024d

2120221261 has 2 divisors, whose sum is σ = 2120221262. Its totient is φ = 2120221260.

The previous prime is 2120221199. The next prime is 2120221273. The reversal of 2120221261 is 1621220212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1621592361 + 498628900 = 40269^2 + 22330^2 .

It is a cyclic number.

It is not a de Polignac number, because 2120221261 - 29 = 2120220749 is a prime.

It is a super-3 number, since 3×21202212613 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2120222261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060110630 + 1060110631.

It is an arithmetic number, because the mean of its divisors is an integer number (1060110631).

Almost surely, 22120221261 is an apocalyptic number.

It is an amenable number.

2120221261 is a deficient number, since it is larger than the sum of its proper divisors (1).

2120221261 is an equidigital number, since it uses as much as digits as its factorization.

2120221261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 2120221261 is about 46045.8604111162. The cubic root of 2120221261 is about 1284.6763478064.

Adding to 2120221261 its reverse (1621220212), we get a palindrome (3741441473).

The spelling of 2120221261 in words is "two billion, one hundred twenty million, two hundred twenty-one thousand, two hundred sixty-one".