Search a number
-
+
223223103041 is a prime number
BaseRepresentation
bin1100111111100100100…
…0100011111001000001
3210100011210122112220212
43033321020203321001
512124130103244131
6250314113443505
722061451032531
oct3177110437101
9710153575825
10223223103041
1186739693244
1237318b70595
1318085694273
14ab384874c1
155c17153a2b
hex33f9223e41

223223103041 has 2 divisors, whose sum is σ = 223223103042. Its totient is φ = 223223103040.

The previous prime is 223223102987. The next prime is 223223103053. The reversal of 223223103041 is 140301322322.

223223103041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 152096880016 + 71126223025 = 389996^2 + 266695^2 .

It is a cyclic number.

It is not a de Polignac number, because 223223103041 - 234 = 206043233857 is a prime.

It is a super-3 number, since 3×2232231030413 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223223102998 and 223223103016.

It is not a weakly prime, because it can be changed into another prime (223223103241) 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, 111611551520 + 111611551521.

It is an arithmetic number, because the mean of its divisors is an integer number (111611551521).

Almost surely, 2223223103041 is an apocalyptic number.

It is an amenable number.

223223103041 is a deficient number, since it is larger than the sum of its proper divisors (1).

223223103041 is an equidigital number, since it uses as much as digits as its factorization.

223223103041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 223223103041 its reverse (140301322322), we get a palindrome (363524425363).

The spelling of 223223103041 in words is "two hundred twenty-three billion, two hundred twenty-three million, one hundred three thousand, forty-one".