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131326861721 = 111711319993109
BaseRepresentation
bin111101001001110110…
…0001110000110011001
3110112222101122210201112
41322103230032012121
54122424134033341
6140155234230105
712326254622606
oct1722354160631
9415871583645
10131326861721
1150771653a70
1221551125335
13c4cba56203
1464db7bd6ad
1536395acaeb
hex1e93b0e199

131326861721 has 32 divisors (see below), whose sum is σ = 153161280000. Its totient is φ = 111279329280.

The previous prime is 131326861693. The next prime is 131326861727. The reversal of 131326861721 is 127168623131.

It is a cyclic number.

It is not a de Polignac number, because 131326861721 - 218 = 131326599577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131326861727) 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, 42239315 + ... + 42242423.

It is an arithmetic number, because the mean of its divisors is an integer number (4786290000).

Almost surely, 2131326861721 is an apocalyptic number.

131326861721 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131326861721 is a deficient number, since it is larger than the sum of its proper divisors (21834418279).

131326861721 is a wasteful number, since it uses less digits than its factorization.

131326861721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5249.

The product of its digits is 72576, while the sum is 41.

The spelling of 131326861721 in words is "one hundred thirty-one billion, three hundred twenty-six million, eight hundred sixty-one thousand, seven hundred twenty-one".

Divisors: 1 11 17 113 187 1243 1921 1999 3109 21131 21989 33983 34199 52853 225887 351317 373813 581383 2484757 3840079 3864487 5972389 6214891 42240869 65696279 68363801 105653147 702282683 1162184617 7725109513 11938805611 131326861721