Search a number
-
+
12213137 is a prime number
BaseRepresentation
bin101110100101…
…101110010001
3211222111021102
4232211232101
511111310022
61113434145
7205544546
oct56455621
924874242
1012213137
116991a02
12410b955
1326b8011
14189cbcd
151113a92
hexba5b91

12213137 has 2 divisors, whose sum is σ = 12213138. Its totient is φ = 12213136.

The previous prime is 12213127. The next prime is 12213167. The reversal of 12213137 is 73131221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10297681 + 1915456 = 3209^2 + 1384^2 .

It is a cyclic number.

It is not a de Polignac number, because 12213137 - 26 = 12213073 is a prime.

It is not a weakly prime, because it can be changed into another prime (12213127) 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, 6106568 + 6106569.

It is an arithmetic number, because the mean of its divisors is an integer number (6106569).

Almost surely, 212213137 is an apocalyptic number.

It is an amenable number.

12213137 is a deficient number, since it is larger than the sum of its proper divisors (1).

12213137 is an equidigital number, since it uses as much as digits as its factorization.

12213137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 252, while the sum is 20.

The square root of 12213137 is about 3494.7298894192. The cubic root of 12213137 is about 230.2903516428.

Adding to 12213137 its reverse (73131221), we get a palindrome (85344358).

The spelling of 12213137 in words is "twelve million, two hundred thirteen thousand, one hundred thirty-seven".