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223120223033 is a prime number
BaseRepresentation
bin1100111111001100000…
…0000110101100111001
3210022220122001201002012
43033303000012230321
512123422234114113
6250300000415305
722056061414031
oct3176300065471
9708818051065
10223120223033
1186696604a44
12372aa617535
131806a282916
14ab289468c1
155c0d0d0aa8
hex33f3006b39

223120223033 has 2 divisors, whose sum is σ = 223120223034. Its totient is φ = 223120223032.

The previous prime is 223120222991. The next prime is 223120223057. The reversal of 223120223033 is 330322021322.

223120223033 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., 154159887424 + 68960335609 = 392632^2 + 262603^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223120223033 is a prime.

It is a super-3 number, since 3×2231202230333 (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (223120223093) 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, 111560111516 + 111560111517.

It is an arithmetic number, because the mean of its divisors is an integer number (111560111517).

Almost surely, 2223120223033 is an apocalyptic number.

It is an amenable number.

223120223033 is a deficient number, since it is larger than the sum of its proper divisors (1).

223120223033 is an equidigital number, since it uses as much as digits as its factorization.

223120223033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 223120223033 its reverse (330322021322), we get a palindrome (553442244355).

The spelling of 223120223033 in words is "two hundred twenty-three billion, one hundred twenty million, two hundred twenty-three thousand, thirty-three".