Search a number
-
+
2221213301 is a prime number
BaseRepresentation
bin1000010001100101…
…0000011001110101
312201210121022211022
42010121100121311
514022112311201
61004224150525
7106021000346
oct20431203165
95653538738
102221213301
11a3a8a947a
1251ba68445
1329524b0c8
141710000cd
15d000c41b
hex84650675

2221213301 has 2 divisors, whose sum is σ = 2221213302. Its totient is φ = 2221213300.

The previous prime is 2221213229. The next prime is 2221213303. The reversal of 2221213301 is 1033121222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1509711025 + 711502276 = 38855^2 + 26674^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221213301 - 210 = 2221212277 is a prime.

Together with 2221213303, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2221213301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2221213303) 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, 1110606650 + 1110606651.

It is an arithmetic number, because the mean of its divisors is an integer number (1110606651).

Almost surely, 22221213301 is an apocalyptic number.

It is an amenable number.

2221213301 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221213301 is an equidigital number, since it uses as much as digits as its factorization.

2221213301 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 17.

The square root of 2221213301 is about 47129.7496386306. The cubic root of 2221213301 is about 1304.7583608421.

Adding to 2221213301 its reverse (1033121222), we get a palindrome (3254334523).

The spelling of 2221213301 in words is "two billion, two hundred twenty-one million, two hundred thirteen thousand, three hundred one".