Search a number
-
+
10120013221 is a prime number
BaseRepresentation
bin10010110110011001…
…10010010110100101
3222010021120221022111
421123030302112211
5131211210410341
64352111001021
7505532456503
oct113314622645
928107527274
1010120013221
11432353579a
121b65209171
13c5381a406
146c0083673
153e36b7681
hex25b3325a5

10120013221 has 2 divisors, whose sum is σ = 10120013222. Its totient is φ = 10120013220.

The previous prime is 10120013177. The next prime is 10120013237. The reversal of 10120013221 is 12231002101.

10120013221 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., 7205632996 + 2914380225 = 84886^2 + 53985^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10120013221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10120013261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060006610 + 5060006611.

It is an arithmetic number, because the mean of its divisors is an integer number (5060006611).

Almost surely, 210120013221 is an apocalyptic number.

It is an amenable number.

10120013221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120013221 is an equidigital number, since it uses as much as digits as its factorization.

10120013221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10120013221 its reverse (12231002101), we get a palindrome (22351015322).

The spelling of 10120013221 in words is "ten billion, one hundred twenty million, thirteen thousand, two hundred twenty-one".