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2221212013 is a prime number
BaseRepresentation
bin1000010001100101…
…0000000101101101
312201210121021001121
42010121100011231
514022112241023
61004224140541
7106020663526
oct20431200555
95653537047
102221212013
11a3a8a8509
1251ba67751
1329524a647
14170ddd84d
15d000bd5d
hex8465016d

2221212013 has 2 divisors, whose sum is σ = 2221212014. Its totient is φ = 2221212012.

The previous prime is 2221212011. The next prime is 2221212041. The reversal of 2221212013 is 3102121222.

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., 2213043849 + 8168164 = 47043^2 + 2858^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221212013 - 21 = 2221212011 is a prime.

Together with 2221212011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2221212011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110606006 + 1110606007.

It is an arithmetic number, because the mean of its divisors is an integer number (1110606007).

Almost surely, 22221212013 is an apocalyptic number.

It is an amenable number.

2221212013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221212013 is an equidigital number, since it uses as much as digits as its factorization.

2221212013 is an evil number, because the sum of its binary digits is even.

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

The square root of 2221212013 is about 47129.7359742233. The cubic root of 2221212013 is about 1304.7581086482.

Adding to 2221212013 its reverse (3102121222), we get a palindrome (5323333235).

It can be divided in two parts, 22212 and 12013, that added together give a square (34225 = 1852).

The spelling of 2221212013 in words is "two billion, two hundred twenty-one million, two hundred twelve thousand, thirteen".