Search a number
-
+
10149281 is a prime number
BaseRepresentation
bin100110101101…
…110110100001
3201002122012022
4212231312201
510044234111
61001311225
7152160512
oct46556641
921078168
1010149281
11580233a
123495515
1321447bc
1414c2a09
15d572db
hex9adda1

10149281 has 2 divisors, whose sum is σ = 10149282. Its totient is φ = 10149280.

The previous prime is 10149277. The next prime is 10149283. The reversal of 10149281 is 18294101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6760000 + 3389281 = 2600^2 + 1841^2 .

It is a cyclic number.

It is not a de Polignac number, because 10149281 - 22 = 10149277 is a prime.

It is a super-2 number, since 2×101492812 = 206015809633922, which contains 22 as substring.

Together with 10149283, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10149281.

It is not a weakly prime, because it can be changed into another prime (10149283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5074640 + 5074641.

It is an arithmetic number, because the mean of its divisors is an integer number (5074641).

Almost surely, 210149281 is an apocalyptic number.

It is an amenable number.

10149281 is a deficient number, since it is larger than the sum of its proper divisors (1).

10149281 is an equidigital number, since it uses as much as digits as its factorization.

10149281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 10149281 is about 3185.7936216899. The cubic root of 10149281 is about 216.5102321167.

The spelling of 10149281 in words is "ten million, one hundred forty-nine thousand, two hundred eighty-one".