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241233583081 is a prime number
BaseRepresentation
bin1110000010101010100…
…1000101101111101001
3212001122222112201212011
43200222221011233221
512423021244124311
6302453212515521
723266664423641
oct3405251055751
9761588481764
10241233583081
1193341083497
123a90477bba1
1319995b23a4a
14b966441521
15641d3cc321
hex382aa45be9

241233583081 has 2 divisors, whose sum is σ = 241233583082. Its totient is φ = 241233583080.

The previous prime is 241233583027. The next prime is 241233583117. The reversal of 241233583081 is 180385332142.

241233583081 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., 197654933056 + 43578650025 = 444584^2 + 208755^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-241233583081 is a prime.

It is a super-2 number, since 2×2412335830812 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (241233583021) 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, 120616791540 + 120616791541.

It is an arithmetic number, because the mean of its divisors is an integer number (120616791541).

Almost surely, 2241233583081 is an apocalyptic number.

It is an amenable number.

241233583081 is a deficient number, since it is larger than the sum of its proper divisors (1).

241233583081 is an equidigital number, since it uses as much as digits as its factorization.

241233583081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 241233583081 in words is "two hundred forty-one billion, two hundred thirty-three million, five hundred eighty-three thousand, eighty-one".