Search a number
-
+
2212120321 is a prime number
BaseRepresentation
bin1000001111011010…
…0100011100000001
312201011111100121021
42003312210130001
514012300322241
61003301225441
7105550466245
oct20366443401
95634440537
102212120321
11a35758814
12518a02281
132933b6348
1416db14425
15ce3130d1
hex83da4701

2212120321 has 2 divisors, whose sum is σ = 2212120322. Its totient is φ = 2212120320.

The previous prime is 2212120303. The next prime is 2212120349. The reversal of 2212120321 is 1230212122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2158903296 + 53217025 = 46464^2 + 7295^2 .

It is a cyclic number.

It is not a de Polignac number, because 2212120321 - 213 = 2212112129 is a prime.

It is a super-2 number, since 2×22121203212 = 9786952629162286082, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2212120295 and 2212120304.

It is not a weakly prime, because it can be changed into another prime (2212123321) 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, 1106060160 + 1106060161.

It is an arithmetic number, because the mean of its divisors is an integer number (1106060161).

Almost surely, 22212120321 is an apocalyptic number.

It is an amenable number.

2212120321 is a deficient number, since it is larger than the sum of its proper divisors (1).

2212120321 is an equidigital number, since it uses as much as digits as its factorization.

2212120321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2212120321 is about 47033.1831901690. The cubic root of 2212120321 is about 1302.9754961940.

Adding to 2212120321 its reverse (1230212122), we get a palindrome (3442332443).

The spelling of 2212120321 in words is "two billion, two hundred twelve million, one hundred twenty thousand, three hundred twenty-one".