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2213022121 is a prime number
BaseRepresentation
bin1000001111101000…
…0000100110101001
312201020012011122021
42003322000212221
514013013201441
61003332424441
7105561243352
oct20372004651
95636164567
102213022121
11a36214302
12519178121
1329364095b
1416dcaad29
15ce4403d1
hex83e809a9

2213022121 has 2 divisors, whose sum is σ = 2213022122. Its totient is φ = 2213022120.

The previous prime is 2213022061. The next prime is 2213022137. The reversal of 2213022121 is 1212203122.

It is a happy number.

It is an a-pointer prime, because the next prime (2213022137) can be obtained adding 2213022121 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1794369600 + 418652521 = 42360^2 + 20461^2 .

It is a cyclic number.

It is not a de Polignac number, because 2213022121 - 229 = 1676151209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2213022095 and 2213022104.

It is not a weakly prime, because it can be changed into another prime (2213022151) 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, 1106511060 + 1106511061.

It is an arithmetic number, because the mean of its divisors is an integer number (1106511061).

Almost surely, 22213022121 is an apocalyptic number.

It is an amenable number.

2213022121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2213022121 is an equidigital number, since it uses as much as digits as its factorization.

2213022121 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 2213022121 is about 47042.7690617804. The cubic root of 2213022121 is about 1303.1525305166.

Adding to 2213022121 its reverse (1212203122), we get a palindrome (3425225243).

The spelling of 2213022121 in words is "two billion, two hundred thirteen million, twenty-two thousand, one hundred twenty-one".