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12441004001033 is a prime number
BaseRepresentation
bin1011010100001010010110…
…0111111100011100001001
31122001100101221220112210012
42311002211213330130021
53112313134011013113
642243152432201305
72422555451121026
oct265024547743411
948040357815705
1012441004001033
113a67222471063
12148b197099235
136c32490bb81a
1431020d81c54d
15168944522aa8
hexb50a59fc709

12441004001033 has 2 divisors, whose sum is σ = 12441004001034. Its totient is φ = 12441004001032.

The previous prime is 12441004000993. The next prime is 12441004001047. The reversal of 12441004001033 is 33010040014421.

12441004001033 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., 12055596461689 + 385407539344 = 3472117^2 + 620812^2 .

It is a cyclic number.

It is not a de Polignac number, because 12441004001033 - 26 = 12441004000969 is a prime.

It is a super-2 number, since 2×124410040010332 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12441004003033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6220502000516 + 6220502000517.

It is an arithmetic number, because the mean of its divisors is an integer number (6220502000517).

Almost surely, 212441004001033 is an apocalyptic number.

It is an amenable number.

12441004001033 is a deficient number, since it is larger than the sum of its proper divisors (1).

12441004001033 is an equidigital number, since it uses as much as digits as its factorization.

12441004001033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 12441004001033 its reverse (33010040014421), we get a palindrome (45451044015454).

The spelling of 12441004001033 in words is "twelve trillion, four hundred forty-one billion, four million, one thousand, thirty-three".