Search a number
-
+
10031041 is a prime number
BaseRepresentation
bin100110010000…
…111111000001
3200212122000001
4212100333001
510031443131
6555000001
7151156006
oct46207701
920778001
1010031041
115731519
123439001
132102a37
1414918ad
15d32261
hex990fc1

10031041 has 2 divisors, whose sum is σ = 10031042. Its totient is φ = 10031040.

The previous prime is 10031029. The next prime is 10031051. The reversal of 10031041 is 14013001.

It is a happy number.

It is an a-pointer prime, because the next prime (10031051) can be obtained adding 10031041 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8288641 + 1742400 = 2879^2 + 1320^2 .

It is an emirp because it is prime and its reverse (14013001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10031041 - 27 = 10030913 is a prime.

It is not a weakly prime, because it can be changed into another prime (10031051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5015520 + 5015521.

It is an arithmetic number, because the mean of its divisors is an integer number (5015521).

Almost surely, 210031041 is an apocalyptic number.

It is an amenable number.

10031041 is a deficient number, since it is larger than the sum of its proper divisors (1).

10031041 is an equidigital number, since it uses as much as digits as its factorization.

10031041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 10031041 is about 3167.1818703699. The cubic root of 10031041 is about 215.6661581028. Note that the first 3 decimals are identical.

Adding to 10031041 its reverse (14013001), we get a palindrome (24044042).

The spelling of 10031041 in words is "ten million, thirty-one thousand, forty-one".