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2131311131 = 1727374779
BaseRepresentation
bin111111100001001…
…0011101000011011
312111112102211020022
41333002103220123
513331103424011
6551253221055
7103546563035
oct17702235033
95445384208
102131311131
119a4084664
124b593178b
1327c731861
141630bac55
15c719e8db
hex7f093a1b

2131311131 has 6 divisors (see below), whose sum is σ = 2264057460. Its totient is φ = 2005939616.

The previous prime is 2131311109. The next prime is 2131311151. The reversal of 2131311131 is 1311131312.

It is not a de Polignac number, because 2131311131 - 26 = 2131311067 is a prime.

It is a super-3 number, since 3×21313111313 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2131311151) 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 5 ways as a sum of consecutive naturals, for example, 3687101 + ... + 3687678.

It is an arithmetic number, because the mean of its divisors is an integer number (377342910).

Almost surely, 22131311131 is an apocalyptic number.

2131311131 is a deficient number, since it is larger than the sum of its proper divisors (132746329).

2131311131 is an equidigital number, since it uses as much as digits as its factorization.

2131311131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7374813 (or 7374796 counting only the distinct ones).

The product of its digits is 54, while the sum is 17.

The square root of 2131311131 is about 46166.1253626509. The cubic root of 2131311131 is about 1286.9122977837.

Adding to 2131311131 its reverse (1311131312), we get a palindrome (3442442443).

The spelling of 2131311131 in words is "two billion, one hundred thirty-one million, three hundred eleven thousand, one hundred thirty-one".

Divisors: 1 17 289 7374779 125371243 2131311131