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2013024137 is a prime number
BaseRepresentation
bin111011111111100…
…0100111110001001
312012021212012222112
41313333010332021
513110313233022
6531430032105
7100612265015
oct16777047611
95167765875
102013024137
11943332913
124821a8635
13261087557
141514c9545
15bbad68e2
hex77fc4f89

2013024137 has 2 divisors, whose sum is σ = 2013024138. Its totient is φ = 2013024136.

The previous prime is 2013024133. The next prime is 2013024151. The reversal of 2013024137 is 7314203102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1675346761 + 337677376 = 40931^2 + 18376^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013024137 - 22 = 2013024133 is a prime.

It is a super-2 number, since 2×20130241372 = 8104532352289189538, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2013024133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006512068 + 1006512069.

It is an arithmetic number, because the mean of its divisors is an integer number (1006512069).

Almost surely, 22013024137 is an apocalyptic number.

It is an amenable number.

2013024137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013024137 is an equidigital number, since it uses as much as digits as its factorization.

2013024137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 2013024137 is about 44866.7375346147. The cubic root of 2013024137 is about 1262.6500320604.

Adding to 2013024137 its reverse (7314203102), we get a palindrome (9327227239).

The spelling of 2013024137 in words is "two billion, thirteen million, twenty-four thousand, one hundred thirty-seven".