Search a number
-
+
3346022570141 is a prime number
BaseRepresentation
bin110000101100001110011…
…111001001100010011101
3102211212200001210002210002
4300230032133021202131
5414310123234221031
611041050324024045
7463512362400656
oct60541637114235
912755601702702
103346022570141
111080049568109
12460594232025
131b36b4380024
14b7d3c40c52d
155c0874ceccb
hex30b0e7c989d

3346022570141 has 2 divisors, whose sum is σ = 3346022570142. Its totient is φ = 3346022570140.

The previous prime is 3346022570131. The next prime is 3346022570147. The reversal of 3346022570141 is 1410752206433.

3346022570141 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., 2592650649241 + 753371920900 = 1610171^2 + 867970^2 .

It is an emirp because it is prime and its reverse (1410752206433) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3346022570141 is a prime.

It is a super-3 number, since 3×33460225701413 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 3346022570095 and 3346022570104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3346022570147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1673011285070 + 1673011285071.

It is an arithmetic number, because the mean of its divisors is an integer number (1673011285071).

Almost surely, 23346022570141 is an apocalyptic number.

It is an amenable number.

3346022570141 is a deficient number, since it is larger than the sum of its proper divisors (1).

3346022570141 is an equidigital number, since it uses as much as digits as its factorization.

3346022570141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120960, while the sum is 38.

Adding to 3346022570141 its reverse (1410752206433), we get a palindrome (4756774776574).

The spelling of 3346022570141 in words is "three trillion, three hundred forty-six billion, twenty-two million, five hundred seventy thousand, one hundred forty-one".