Search a number
-
+
10036241 is a prime number
BaseRepresentation
bin100110010010…
…010000010001
3200212220010122
4212102100101
510032124431
6555040025
7151210115
oct46222021
920786118
1010036241
115735416
123440015
132105207
141493745
15d33a7b
hex992411

10036241 has 2 divisors, whose sum is σ = 10036242. Its totient is φ = 10036240.

The previous prime is 10036231. The next prime is 10036253. The reversal of 10036241 is 14263001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8761600 + 1274641 = 2960^2 + 1129^2 .

It is a cyclic number.

It is not a de Polignac number, because 10036241 - 210 = 10035217 is a prime.

It is a super-2 number, since 2×100362412 = 201452266820162, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10036231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5018120 + 5018121.

It is an arithmetic number, because the mean of its divisors is an integer number (5018121).

Almost surely, 210036241 is an apocalyptic number.

It is an amenable number.

10036241 is a deficient number, since it is larger than the sum of its proper divisors (1).

10036241 is an equidigital number, since it uses as much as digits as its factorization.

10036241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 10036241 is about 3168.0026830797. The cubic root of 10036241 is about 215.7034181204.

Subtracting from 10036241 its sum of digits (17), we obtain a square (10036224 = 31682).

Adding to 10036241 its reverse (14263001), we get a palindrome (24299242).

The spelling of 10036241 in words is "ten million, thirty-six thousand, two hundred forty-one".