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131784432681 = 311211128914683
BaseRepresentation
bin111101010111011110…
…1101101110000101001
3110121011021122211002010
41322232331231300221
54124343303321211
6140312501430133
712343512123666
oct1725675556051
9417137584063
10131784432681
1150986970890
122165a40b349
13c5727a3c65
14654248ca6d
1536648444a6
hex1eaef6dc29

131784432681 has 32 divisors (see below), whose sum is σ = 192757455360. Its totient is φ = 79423747200.

The previous prime is 131784432641. The next prime is 131784432719. The reversal of 131784432681 is 186234487131.

It is not a de Polignac number, because 131784432681 - 26 = 131784432617 is a prime.

It is a super-2 number, since 2×1317844326812 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 131784432681.

It is not an unprimeable number, because it can be changed into a prime (131784432631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8967966 + ... + 8982648.

It is an arithmetic number, because the mean of its divisors is an integer number (6023670480).

Almost surely, 2131784432681 is an apocalyptic number.

131784432681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131784432681 is a deficient number, since it is larger than the sum of its proper divisors (60973022679).

131784432681 is a wasteful number, since it uses less digits than its factorization.

131784432681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16197.

The product of its digits is 774144, while the sum is 48.

It can be divided in two parts, 131784 and 432681, that added together give a palindrome (564465).

The spelling of 131784432681 in words is "one hundred thirty-one billion, seven hundred eighty-four million, four hundred thirty-two thousand, six hundred eighty-one".

Divisors: 1 3 11 33 211 633 1289 2321 3867 6963 14179 14683 42537 44049 161513 271979 484539 815937 2991769 3098113 8975307 9294339 18926387 34079243 56779161 102237729 208190257 624570771 3993467657 11980402971 43928144227 131784432681