Search a number
-
+
10220332273 is a prime number
BaseRepresentation
bin10011000010010110…
…11110010011110001
3222101021100200011221
421201023132103301
5131412401113043
64410053105041
7511161251044
oct114113362361
928337320157
1010220332273
1143751249a8
121b92928181
13c6b5431b8
146cd518c5b
153ec3d18ed
hex2612de4f1

10220332273 has 2 divisors, whose sum is σ = 10220332274. Its totient is φ = 10220332272.

The previous prime is 10220332267. The next prime is 10220332307. The reversal of 10220332273 is 37223302201.

10220332273 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7206651664 + 3013680609 = 84892^2 + 54897^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10220332273 is a prime.

It is not a weakly prime, because it can be changed into another prime (10220332253) 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, 5110166136 + 5110166137.

It is an arithmetic number, because the mean of its divisors is an integer number (5110166137).

Almost surely, 210220332273 is an apocalyptic number.

It is an amenable number.

10220332273 is a deficient number, since it is larger than the sum of its proper divisors (1).

10220332273 is an equidigital number, since it uses as much as digits as its factorization.

10220332273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 25.

Adding to 10220332273 its reverse (37223302201), we get a palindrome (47443634474).

The spelling of 10220332273 in words is "ten billion, two hundred twenty million, three hundred thirty-two thousand, two hundred seventy-three".