Search a number
-
+
2331220000013 is a prime number
BaseRepresentation
bin100001111011000111100…
…010100011110100001101
322020212021201201012110222
4201323013202203310031
5301143314310000023
64542540411041125
7330265543023542
oct41730742436415
98225251635428
102331220000013
11819734a08193
12317980a401a5
1313baaa432968
1480b90094bc9
1540991451cc8
hex21ec78a3d0d

2331220000013 has 2 divisors, whose sum is σ = 2331220000014. Its totient is φ = 2331220000012.

The previous prime is 2331219999947. The next prime is 2331220000049. The reversal of 2331220000013 is 3100000221332.

2331220000013 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., 1313506242889 + 1017713757124 = 1146083^2 + 1008818^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2331220000013 is a prime.

It is a super-2 number, since 2×23312200000132 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2331219999946 and 2331220000000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2331220500013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1165610000006 + 1165610000007.

It is an arithmetic number, because the mean of its divisors is an integer number (1165610000007).

Almost surely, 22331220000013 is an apocalyptic number.

It is an amenable number.

2331220000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2331220000013 is an equidigital number, since it uses as much as digits as its factorization.

2331220000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 2331220000013 its reverse (3100000221332), we get a palindrome (5431220221345).

The spelling of 2331220000013 in words is "two trillion, three hundred thirty-one billion, two hundred twenty million, thirteen", and thus it is an aban number.