Search a number
-
+
223123313011 is a prime number
BaseRepresentation
bin1100111111001100101…
…1111001000101110011
3210022220211212200201211
43033303023321011303
512123424032004021
6250300150540551
722056126603514
oct3176313710563
9708824780654
10223123313011
1186698325545
12372ab667757
131806aac5201
14ab2910ca0b
155c0d4e13e1
hex33f32f9173

223123313011 has 2 divisors, whose sum is σ = 223123313012. Its totient is φ = 223123313010.

The previous prime is 223123312999. The next prime is 223123313033. The reversal of 223123313011 is 110313321322.

It is an a-pointer prime, because the next prime (223123313033) can be obtained adding 223123313011 to its sum of digits (22).

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223123313011 is a prime.

It is a super-3 number, since 3×2231233130113 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (223123313041) 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, 111561656505 + 111561656506.

It is an arithmetic number, because the mean of its divisors is an integer number (111561656506).

Almost surely, 2223123313011 is an apocalyptic number.

223123313011 is a deficient number, since it is larger than the sum of its proper divisors (1).

223123313011 is an equidigital number, since it uses as much as digits as its factorization.

223123313011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 223123313011 its reverse (110313321322), we get a palindrome (333436634333).

The spelling of 223123313011 in words is "two hundred twenty-three billion, one hundred twenty-three million, three hundred thirteen thousand, eleven".