Search a number
-
+
10221037 is a prime number
BaseRepresentation
bin100110111111…
…010111101101
3201020021121221
4212333113231
510104033122
61003023341
7152606641
oct46772755
921207557
1010221037
115851242
12350ab51
13216b368
141500c21
15d6d6c7
hex9bf5ed

10221037 has 2 divisors, whose sum is σ = 10221038. Its totient is φ = 10221036.

The previous prime is 10221007. The next prime is 10221047. The reversal of 10221037 is 73012201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6245001 + 3976036 = 2499^2 + 1994^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10221037 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10221037.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10221007) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110518 + 5110519.

It is an arithmetic number, because the mean of its divisors is an integer number (5110519).

Almost surely, 210221037 is an apocalyptic number.

It is an amenable number.

10221037 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221037 is an equidigital number, since it uses as much as digits as its factorization.

10221037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 10221037 is about 3197.0356582309. The cubic root of 10221037 is about 217.0192809218.

Adding to 10221037 its reverse (73012201), we get a palindrome (83233238).

The spelling of 10221037 in words is "ten million, two hundred twenty-one thousand, thirty-seven".