Search a number
-
+
3522106406041 is a prime number
BaseRepresentation
bin110011010000001101111…
…001101011010010011001
3110110201011122120202210221
4303100031321223102121
5430201233214443131
611254011111440041
7512315036325016
oct63201571532231
913421148522727
103522106406041
111138798277233
1248a736386021
131c71968771c2
14c268407870d
1561940ec3411
hex3340de6b499

3522106406041 has 2 divisors, whose sum is σ = 3522106406042. Its totient is φ = 3522106406040.

The previous prime is 3522106405919. The next prime is 3522106406081. The reversal of 3522106406041 is 1406046012253.

3522106406041 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., 3513266645641 + 8839760400 = 1874371^2 + 94020^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3522106406041 is a prime.

It is a super-2 number, since 2×35221064060412 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3522106405988 and 3522106406006.

It is not a weakly prime, because it can be changed into another prime (3522106406081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1761053203020 + 1761053203021.

It is an arithmetic number, because the mean of its divisors is an integer number (1761053203021).

Almost surely, 23522106406041 is an apocalyptic number.

It is an amenable number.

3522106406041 is a deficient number, since it is larger than the sum of its proper divisors (1).

3522106406041 is an equidigital number, since it uses as much as digits as its factorization.

3522106406041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 3522106406041 in words is "three trillion, five hundred twenty-two billion, one hundred six million, four hundred six thousand, forty-one".