Search a number
-
+
231001 is a prime number
BaseRepresentation
bin111000011001011001
3102201212121
4320121121
524343001
64541241
71651321
oct703131
9381777
10231001
11148611
12b1821
13811b4
1460281
15486a1
hex38659

231001 has 2 divisors, whose sum is σ = 231002. Its totient is φ = 231000.

The previous prime is 230999. The next prime is 231017. The reversal of 231001 is 100132.

231001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 126025 + 104976 = 355^2 + 324^2 .

It is a cyclic number.

It is not a de Polignac number, because 231001 - 21 = 230999 is a prime.

It is a super-2 number, since 2×2310012 = 106722924002, which contains 22 as substring.

Together with 230999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (231031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 115500 + 115501.

It is an arithmetic number, because the mean of its divisors is an integer number (115501).

2231001 is an apocalyptic number.

It is an amenable number.

231001 is a deficient number, since it is larger than the sum of its proper divisors (1).

231001 is an equidigital number, since it uses as much as digits as its factorization.

231001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 231001 is about 480.6256339398. The cubic root of 231001 is about 61.3580129361.

Adding to 231001 its reverse (100132), we get a palindrome (331133).

It can be divided in two parts, 23 and 1001, that added together give a 10-th power (1024 = 210).

The spelling of 231001 in words is "two hundred thirty-one thousand, one".