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222120200213 is a prime number
BaseRepresentation
bin1100111011011101100…
…1010100100000010101
3210020022221100021122222
43032313121110200111
512114400232401323
6250012434432125
722022226356432
oct3166731244025
9706287307588
10222120200213
1186223075aaa
123706b732645
1317c3b038242
14aa71bd0b89
155ba03e79c8
hex33b7654815

222120200213 has 2 divisors, whose sum is σ = 222120200214. Its totient is φ = 222120200212.

The previous prime is 222120200209. The next prime is 222120200311. The reversal of 222120200213 is 312002021222.

222120200213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 191005709764 + 31114490449 = 437042^2 + 176393^2 .

It is a cyclic number.

It is not a de Polignac number, because 222120200213 - 22 = 222120200209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 222120200191 and 222120200200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222120200413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111060100106 + 111060100107.

It is an arithmetic number, because the mean of its divisors is an integer number (111060100107).

Almost surely, 2222120200213 is an apocalyptic number.

It is an amenable number.

222120200213 is a deficient number, since it is larger than the sum of its proper divisors (1).

222120200213 is an equidigital number, since it uses as much as digits as its factorization.

222120200213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 222120200213 its reverse (312002021222), we get a palindrome (534122221435).

The spelling of 222120200213 in words is "two hundred twenty-two billion, one hundred twenty million, two hundred thousand, two hundred thirteen".