Search a number
-
+
213003011131 is a prime number
BaseRepresentation
bin1100011001011111111…
…0000000010000111011
3202100210112202002110021
43012113332000100323
511442212232324011
6241504025431311
721250261502311
oct3062776002073
9670715662407
10213003011131
1182374712999
123534633b537
13171172065c1
14a448dd20b1
155819cbd471
hex3197f8043b

213003011131 has 2 divisors, whose sum is σ = 213003011132. Its totient is φ = 213003011130.

The previous prime is 213003011119. The next prime is 213003011149. The reversal of 213003011131 is 131110300312.

213003011131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 213003011131 - 213 = 213003002939 is a prime.

It is a super-2 number, since 2×2130030111312 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (213003011161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106501505565 + 106501505566.

It is an arithmetic number, because the mean of its divisors is an integer number (106501505566).

Almost surely, 2213003011131 is an apocalyptic number.

213003011131 is a deficient number, since it is larger than the sum of its proper divisors (1).

213003011131 is an equidigital number, since it uses as much as digits as its factorization.

213003011131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 213003011131 its reverse (131110300312), we get a palindrome (344113311443).

The spelling of 213003011131 in words is "two hundred thirteen billion, three million, eleven thousand, one hundred thirty-one".