Search a number
-
+
2213321131131 = 3111922715550739
BaseRepresentation
bin100000001101010100001…
…110000100010001111011
321211120222011012010000120
4200031110032010101323
5242230340202144011
64412441413104323
7315623106126045
oct40152416042173
97746864163016
102213321131131
11783734093a70
122b8b589280a3
1313093b641256
14791a7c10a95
153c890b88a06
hex2035438447b

2213321131131 has 32 divisors (see below), whose sum is σ = 3403745971200. Its totient is φ = 1265208043680.

The previous prime is 2213321131123. The next prime is 2213321131157. The reversal of 2213321131131 is 1311311233122.

It is not a de Polignac number, because 2213321131131 - 23 = 2213321131123 is a prime.

It is a super-2 number, since 2×22133211311312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2213321131171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7633041 + ... + 7917698.

It is an arithmetic number, because the mean of its divisors is an integer number (106367061600).

Almost surely, 22213321131131 is an apocalyptic number.

2213321131131 is a deficient number, since it is larger than the sum of its proper divisors (1190424840069).

2213321131131 is a wasteful number, since it uses less digits than its factorization.

2213321131131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15550999.

The product of its digits is 648, while the sum is 24.

Adding to 2213321131131 its reverse (1311311233122), we get a palindrome (3524632364253).

The spelling of 2213321131131 in words is "two trillion, two hundred thirteen billion, three hundred twenty-one million, one hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 3 11 19 33 57 209 227 627 681 2497 4313 7491 12939 47443 142329 15550739 46652217 171058129 295464041 513174387 886392123 3250104451 3530017753 9750313353 10590053259 38830195283 67070337307 116490585849 201211011921 737773710377 2213321131131