Search a number
-
+
10031741 is a prime number
BaseRepresentation
bin100110010001…
…001001111101
3200212122221222
4212101021331
510032003431
6555003125
7151161026
oct46211175
920778858
1010031741
115731aa5
1234394a5
132103155
141491c4d
15d3257b
hex99127d

10031741 has 2 divisors, whose sum is σ = 10031742. Its totient is φ = 10031740.

The previous prime is 10031719. The next prime is 10031743. The reversal of 10031741 is 14713001.

10031741 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., 9424900 + 606841 = 3070^2 + 779^2 .

It is a cyclic number.

It is not a de Polignac number, because 10031741 - 210 = 10030717 is a prime.

Together with 10031743, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10031743) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5015870 + 5015871.

It is an arithmetic number, because the mean of its divisors is an integer number (5015871).

Almost surely, 210031741 is an apocalyptic number.

It is an amenable number.

10031741 is a deficient number, since it is larger than the sum of its proper divisors (1).

10031741 is an equidigital number, since it uses as much as digits as its factorization.

10031741 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 10031741 is about 3167.2923767786. The cubic root of 10031741 is about 215.6711746244.

Adding to 10031741 its reverse (14713001), we get a palindrome (24744742).

It can be divided in two parts, 1003 and 1741, that added together give a cube (2744 = 143).

The spelling of 10031741 in words is "ten million, thirty-one thousand, seven hundred forty-one".