Search a number
-
+
13803121 is a prime number
BaseRepresentation
bin110100101001…
…111001110001
3221222021022201
4310221321301
512013144441
61211503201
7225216223
oct64517161
927867281
1013803121
117878542
124757b01
132b23937
141b94413
151329c31
hexd29e71

13803121 has 2 divisors, whose sum is σ = 13803122. Its totient is φ = 13803120.

The previous prime is 13803089. The next prime is 13803137. The reversal of 13803121 is 12130831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13424896 + 378225 = 3664^2 + 615^2 .

It is a cyclic number.

It is not a de Polignac number, because 13803121 - 25 = 13803089 is a prime.

It is a super-2 number, since 2×138031212 = 381052298681282, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13803221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6901560 + 6901561.

It is an arithmetic number, because the mean of its divisors is an integer number (6901561).

Almost surely, 213803121 is an apocalyptic number.

It is an amenable number.

13803121 is a deficient number, since it is larger than the sum of its proper divisors (1).

13803121 is an equidigital number, since it uses as much as digits as its factorization.

13803121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 13803121 is about 3715.2551729323. The cubic root of 13803121 is about 239.8791115722.

Adding to 13803121 its reverse (12130831), we get a palindrome (25933952).

It can be divided in two parts, 13803 and 121, that added together give a square (13924 = 1182).

The spelling of 13803121 in words is "thirteen million, eight hundred three thousand, one hundred twenty-one".