Search a number
-
+
41003103112021 is a prime number
BaseRepresentation
bin10010101001010110001110…
…11001010100101101010101
312101011212011202101212020101
421110223013121110231111
520333243323344041041
6223112322053134101
711431243055601421
oct1124530731245525
9171155152355211
1041003103112021
1112079355837a56
12472281432a331
1319b576470a95b
14a1a7bcac9b81
154b18b8ae3b31
hex254ac7654b55

41003103112021 has 2 divisors, whose sum is σ = 41003103112022. Its totient is φ = 41003103112020.

The previous prime is 41003103112003. The next prime is 41003103112031. The reversal of 41003103112021 is 12021130130014.

41003103112021 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., 27416219602500 + 13586883509521 = 5236050^2 + 3686039^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-41003103112021 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 41003103112021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41003103112001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20501551556010 + 20501551556011.

It is an arithmetic number, because the mean of its divisors is an integer number (20501551556011).

Almost surely, 241003103112021 is an apocalyptic number.

It is an amenable number.

41003103112021 is a deficient number, since it is larger than the sum of its proper divisors (1).

41003103112021 is an equidigital number, since it uses as much as digits as its factorization.

41003103112021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 41003103112021 its reverse (12021130130014), we get a palindrome (53024233242035).

The spelling of 41003103112021 in words is "forty-one trillion, three billion, one hundred three million, one hundred twelve thousand, twenty-one".