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223022130013 is a prime number
BaseRepresentation
bin1100111110110100100…
…1111010001101011101
3210022122210111001202101
43033231021322031131
512123222131130023
6250242134125101
722053460553404
oct3175511721535
9708583431671
10223022130013
11866461a6231
12372817b0791
1318052b59107
14ab198d063b
155c046a61ad
hex33ed27a35d

223022130013 has 2 divisors, whose sum is σ = 223022130014. Its totient is φ = 223022130012.

The previous prime is 223022130011. The next prime is 223022130053. The reversal of 223022130013 is 310031220322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 160783356484 + 62238773529 = 400978^2 + 249477^2 .

It is a cyclic number.

It is not a de Polignac number, because 223022130013 - 21 = 223022130011 is a prime.

Together with 223022130011, 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 (223022130011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111511065006 + 111511065007.

It is an arithmetic number, because the mean of its divisors is an integer number (111511065007).

Almost surely, 2223022130013 is an apocalyptic number.

It is an amenable number.

223022130013 is a deficient number, since it is larger than the sum of its proper divisors (1).

223022130013 is an equidigital number, since it uses as much as digits as its factorization.

223022130013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 223022130013 its reverse (310031220322), we get a palindrome (533053350335).

The spelling of 223022130013 in words is "two hundred twenty-three billion, twenty-two million, one hundred thirty thousand, thirteen".