Search a number
-
+
12210113 is a prime number
BaseRepresentation
bin101110100100…
…111111000001
3211222100010102
4232210333001
511111210423
61113412145
7205532666
oct56447701
924870112
1012210113
11698a703
12410a055
1326b6826
14189ba6d
151112c28
hexba4fc1

12210113 has 2 divisors, whose sum is σ = 12210114. Its totient is φ = 12210112.

The previous prime is 12210101. The next prime is 12210119. The reversal of 12210113 is 31101221.

12210113 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7579009 + 4631104 = 2753^2 + 2152^2 .

It is a cyclic number.

It is not a de Polignac number, because 12210113 - 216 = 12144577 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12210094 and 12210103.

It is not a weakly prime, because it can be changed into another prime (12210119) 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, 6105056 + 6105057.

It is an arithmetic number, because the mean of its divisors is an integer number (6105057).

Almost surely, 212210113 is an apocalyptic number.

It is an amenable number.

12210113 is a deficient number, since it is larger than the sum of its proper divisors (1).

12210113 is an equidigital number, since it uses as much as digits as its factorization.

12210113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 12210113 is about 3494.2972111714. The cubic root of 12210113 is about 230.2713432720.

Adding to 12210113 its reverse (31101221), we get a palindrome (43311334).

The spelling of 12210113 in words is "twelve million, two hundred ten thousand, one hundred thirteen".