Search a number
-
+
2013031021 is a prime number
BaseRepresentation
bin111011111111100…
…0110101001101101
312012021212120102111
41313333012221231
513110313443041
6531430124021
7100612324051
oct16777065155
95167776374
102013031021
11943338001
124821b0611
1326108a721
141514cbc61
15bbad8981
hex77fc6a6d

2013031021 has 2 divisors, whose sum is σ = 2013031022. Its totient is φ = 2013031020.

The previous prime is 2013031003. The next prime is 2013031037. The reversal of 2013031021 is 1201303102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1884775396 + 128255625 = 43414^2 + 11325^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013031021 - 25 = 2013030989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2013030992 and 2013031010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2013031061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006515510 + 1006515511.

It is an arithmetic number, because the mean of its divisors is an integer number (1006515511).

Almost surely, 22013031021 is an apocalyptic number.

It is an amenable number.

2013031021 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013031021 is an equidigital number, since it uses as much as digits as its factorization.

2013031021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2013031021 is about 44866.8142506240. The cubic root of 2013031021 is about 1262.6514713664.

Adding to 2013031021 its reverse (1201303102), we get a palindrome (3214334123).

The spelling of 2013031021 in words is "two billion, thirteen million, thirty-one thousand, twenty-one".