Search a number
-
+
223122110213 is a prime number
BaseRepresentation
bin1100111111001100011…
…1010011011100000101
3210022220202121120210202
43033303013103130011
512123423230011323
6250300105100245
722056113434022
oct3176307233405
9708822546722
10223122110213
11866976838a2
12372ab187685
131806a7938b2
14ab28cb8549
155c0d354d28
hex33f31d3705

223122110213 has 2 divisors, whose sum is σ = 223122110214. Its totient is φ = 223122110212.

The previous prime is 223122110207. The next prime is 223122110273. The reversal of 223122110213 is 312011221322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 215409230884 + 7712879329 = 464122^2 + 87823^2 .

It is a cyclic number.

It is not a de Polignac number, because 223122110213 - 28 = 223122109957 is a prime.

It is a super-3 number, since 3×2231221102133 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223122110273) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111561055106 + 111561055107.

It is an arithmetic number, because the mean of its divisors is an integer number (111561055107).

Almost surely, 2223122110213 is an apocalyptic number.

It is an amenable number.

223122110213 is a deficient number, since it is larger than the sum of its proper divisors (1).

223122110213 is an equidigital number, since it uses as much as digits as its factorization.

223122110213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 223122110213 its reverse (312011221322), we get a palindrome (535133331535).

The spelling of 223122110213 in words is "two hundred twenty-three billion, one hundred twenty-two million, one hundred ten thousand, two hundred thirteen".