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223241112001 is a prime number
BaseRepresentation
bin1100111111101000110…
…1010000100111000001
3210100020001112111120101
43033322031100213001
512124144211041001
6250315555442401
722062060100015
oct3177215204701
9710201474511
10223241112001
1186748873686
1237322bb6401
131808932b35b
14ab3aa14545
155c18a0ea01
hex33fa3509c1

223241112001 has 2 divisors, whose sum is σ = 223241112002. Its totient is φ = 223241112000.

The previous prime is 223241111993. The next prime is 223241112037. The reversal of 223241112001 is 100211142322.

223241112001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 212719276225 + 10521835776 = 461215^2 + 102576^2 .

It is a cyclic number.

It is not a de Polignac number, because 223241112001 - 23 = 223241111993 is a prime.

It is a super-4 number, since 4×2232411120014 (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a self number, because there is not a number n which added to its sum of digits gives 223241112001.

It is not a weakly prime, because it can be changed into another prime (223241112301) 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, 111620556000 + 111620556001.

It is an arithmetic number, because the mean of its divisors is an integer number (111620556001).

Almost surely, 2223241112001 is an apocalyptic number.

It is an amenable number.

223241112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

223241112001 is an equidigital number, since it uses as much as digits as its factorization.

223241112001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 223241112001 its reverse (100211142322), we get a palindrome (323452254323).

The spelling of 223241112001 in words is "two hundred twenty-three billion, two hundred forty-one million, one hundred twelve thousand, one".