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131111344231 = 733119336379
BaseRepresentation
bin111101000011011011…
…0000101100001100111
3110112102101010101022021
41322012312011201213
54122004001003411
6140122015044011
712321030016000
oct1720666054147
9415371111267
10131111344231
1150670a3253a
12214b0b10607
13c4961c7b7a
1464bad1c1a7
1536256daa71
hex1e86d85867

131111344231 has 32 divisors (see below), whose sum is σ = 157938176000. Its totient is φ = 108682650720.

The previous prime is 131111344223. The next prime is 131111344261. The reversal of 131111344231 is 132443111131.

It is not a de Polignac number, because 131111344231 - 23 = 131111344223 is a prime.

It is a super-2 number, since 2×1311113442312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131111344196 and 131111344205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131111344261) 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 in 31 ways as a sum of consecutive naturals, for example, 20550400 + ... + 20556778.

It is an arithmetic number, because the mean of its divisors is an integer number (4935568000).

Almost surely, 2131111344231 is an apocalyptic number.

131111344231 is a deficient number, since it is larger than the sum of its proper divisors (26826831769).

131111344231 is an equidigital number, since it uses as much as digits as its factorization.

131111344231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8364 (or 8350 counting only the distinct ones).

The product of its digits is 864, while the sum is 25.

Adding to 131111344231 its reverse (132443111131), we get a palindrome (263554455362).

The spelling of 131111344231 in words is "one hundred thirty-one billion, one hundred eleven million, three hundred forty-four thousand, two hundred thirty-one".

Divisors: 1 7 31 49 217 343 1519 1933 6379 10633 13531 44653 59923 94717 197749 312571 419461 663019 1384243 2187997 2936227 9689701 12330607 20553589 67827907 86314249 382248817 604199743 2675741719 4229398201 18730192033 131111344231