Search a number
-
+
10002021332321 is a prime number
BaseRepresentation
bin1001000110001100011011…
…1011011011010101100001
31022102011222001201120111102
42101203012323123111201
52302333114430113241
633134510513124145
72051423261364404
oct221430673332541
938364861646442
1010002021332321
1132069193209a7
121156560859655
13577256b61555
1426815977bd3b
1512529761b39b
hex918c6edb561

10002021332321 has 2 divisors, whose sum is σ = 10002021332322. Its totient is φ = 10002021332320.

The previous prime is 10002021332293. The next prime is 10002021332327. The reversal of 10002021332321 is 12323312020001.

10002021332321 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., 5028519214096 + 4973502118225 = 2242436^2 + 2230135^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002021332321 - 26 = 10002021332257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10002021332293 and 10002021332302.

It is not a weakly prime, because it can be changed into another prime (10002021332327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001010666160 + 5001010666161.

It is an arithmetic number, because the mean of its divisors is an integer number (5001010666161).

Almost surely, 210002021332321 is an apocalyptic number.

It is an amenable number.

10002021332321 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002021332321 is an equidigital number, since it uses as much as digits as its factorization.

10002021332321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10002021332321 its reverse (12323312020001), we get a palindrome (22325333352322).

The spelling of 10002021332321 in words is "ten trillion, two billion, twenty-one million, three hundred thirty-two thousand, three hundred twenty-one".