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221223333013 is a prime number
BaseRepresentation
bin1100111000000111110…
…0000010110010010101
3210011000102201201011021
43032001330002302111
512111031133124023
6245343435441141
721661056206314
oct3160174026225
9704012651137
10221223333013
1185902893441
1236a5b2b61b1
1317b2729a7a7
14a9c8a4c27b
155b4b7d935d
hex3381f02c95

221223333013 has 2 divisors, whose sum is σ = 221223333014. Its totient is φ = 221223333012.

The previous prime is 221223332999. The next prime is 221223333047. The reversal of 221223333013 is 310333322122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 216431509284 + 4791823729 = 465222^2 + 69223^2 .

It is a cyclic number.

It is not a de Polignac number, because 221223333013 - 221 = 221221235861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221223333073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110611666506 + 110611666507.

It is an arithmetic number, because the mean of its divisors is an integer number (110611666507).

Almost surely, 2221223333013 is an apocalyptic number.

It is an amenable number.

221223333013 is a deficient number, since it is larger than the sum of its proper divisors (1).

221223333013 is an equidigital number, since it uses as much as digits as its factorization.

221223333013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 221223333013 its reverse (310333322122), we get a palindrome (531556655135).

The spelling of 221223333013 in words is "two hundred twenty-one billion, two hundred twenty-three million, three hundred thirty-three thousand, thirteen".