Search a number
-
+
213212211131 is a prime number
BaseRepresentation
bin1100011010010001110…
…0000010011110111011
3202101100010101112220102
43012210130002132323
511443124311224011
6241540501350015
721255411614663
oct3064434023673
9671303345812
10213212211131
1182471809a57
12353a440830b
131714b66229a
14a468acb1a3
15582d34373b
hex31a47027bb

213212211131 has 2 divisors, whose sum is σ = 213212211132. Its totient is φ = 213212211130.

The previous prime is 213212211127. The next prime is 213212211167. The reversal of 213212211131 is 131112212312.

213212211131 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 213212211131 - 22 = 213212211127 is a prime.

It is a super-3 number, since 3×2132122111313 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (213212211181) 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, 106606105565 + 106606105566.

It is an arithmetic number, because the mean of its divisors is an integer number (106606105566).

Almost surely, 2213212211131 is an apocalyptic number.

213212211131 is a deficient number, since it is larger than the sum of its proper divisors (1).

213212211131 is an equidigital number, since it uses as much as digits as its factorization.

213212211131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 144, while the sum is 20.

Adding to 213212211131 its reverse (131112212312), we get a palindrome (344324423443).

The spelling of 213212211131 in words is "two hundred thirteen billion, two hundred twelve million, two hundred eleven thousand, one hundred thirty-one".