Search a number
-
+
203381 is a prime number
BaseRepresentation
bin110001101001110101
3101022222122
4301221311
523002011
64205325
71504643
oct615165
9338878
10203381
11129892
1299845
1371759
1454193
15403db
hex31a75

203381 has 2 divisors, whose sum is σ = 203382. Its totient is φ = 203380.

The previous prime is 203363. The next prime is 203383. The reversal of 203381 is 183302.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 167281 + 36100 = 409^2 + 190^2 .

It is a cyclic number.

It is not a de Polignac number, because 203381 - 26 = 203317 is a prime.

It is a super-2 number, since 2×2033812 = 82727662322, which contains 22 as substring.

Together with 203383, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 203381.

It is not a weakly prime, because it can be changed into another prime (203383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101690 + 101691.

It is an arithmetic number, because the mean of its divisors is an integer number (101691).

2203381 is an apocalyptic number.

It is an amenable number.

203381 is a deficient number, since it is larger than the sum of its proper divisors (1).

203381 is an equidigital number, since it uses as much as digits as its factorization.

203381 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 203381 is about 450.9778265059. The cubic root of 203381 is about 58.8080518691.

Adding to 203381 its reverse (183302), we get a palindrome (386683).

The spelling of 203381 in words is "two hundred three thousand, three hundred eighty-one".