Search a number
-
+
2124013 is a prime number
BaseRepresentation
bin1000000110100011101101
310222220121011
420012203231
51020432023
6113305221
724024313
oct10064355
93886534
102124013
111220891
12865211
13594a18
143d40b3
152be50d
hex2068ed

2124013 has 2 divisors, whose sum is σ = 2124014. Its totient is φ = 2124012.

The previous prime is 2124011. The next prime is 2124019. The reversal of 2124013 is 3104212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2067844 + 56169 = 1438^2 + 237^2 .

It is a cyclic number.

It is not a de Polignac number, because 2124013 - 21 = 2124011 is a prime.

It is a super-2 number, since 2×21240132 = 9022862448338, which contains 22 as substring.

Together with 2124011, it forms a pair of twin primes.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2123984 and 2124002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2124011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1062006 + 1062007.

It is an arithmetic number, because the mean of its divisors is an integer number (1062007).

22124013 is an apocalyptic number.

It is an amenable number.

2124013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2124013 is an equidigital number, since it uses as much as digits as its factorization.

2124013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2124013 is about 1457.3993961849. The cubic root of 2124013 is about 128.5441717058.

Adding to 2124013 its reverse (3104212), we get a palindrome (5228225).

It can be divided in two parts, 212 and 4013, that added together give a square (4225 = 652).

The spelling of 2124013 in words is "two million, one hundred twenty-four thousand, thirteen".