Search a number
-
+
223133122213 is a prime number
BaseRepresentation
bin1100111111001111000…
…1010011111010100101
3210022221112100001102121
43033303301103322211
512123434034402323
6250301141105541
722056306150001
oct3176361237245
9708845301377
10223133122213
11866a2915321
12372b29b82b1
131806cb4ac81
14ab2a543701
155c0e2cca5d
hex33f3c53ea5

223133122213 has 2 divisors, whose sum is σ = 223133122214. Its totient is φ = 223133122212.

The previous prime is 223133122207. The next prime is 223133122253. The reversal of 223133122213 is 312221331322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 123973001604 + 99160120609 = 352098^2 + 314897^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223133122213 is a prime.

It is a super-3 number, since 3×2231331222133 (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 (223133122253) 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, 111566561106 + 111566561107.

It is an arithmetic number, because the mean of its divisors is an integer number (111566561107).

Almost surely, 2223133122213 is an apocalyptic number.

It is an amenable number.

223133122213 is a deficient number, since it is larger than the sum of its proper divisors (1).

223133122213 is an equidigital number, since it uses as much as digits as its factorization.

223133122213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2592, while the sum is 25.

Adding to 223133122213 its reverse (312221331322), we get a palindrome (535354453535).

The spelling of 223133122213 in words is "two hundred twenty-three billion, one hundred thirty-three million, one hundred twenty-two thousand, two hundred thirteen".