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131043340413 = 321747106917047
BaseRepresentation
bin111101000001011001…
…0101011000001111101
3110112020122011102121100
41322002302223001331
54121334043343123
6140111145323313
712316243005066
oct1720262530175
9415218142540
10131043340413
1150636605237
1221492196539
13c4850a7b1b
1464b1c9956d
15361e756643
hex1e82cab07d

131043340413 has 48 divisors (see below), whose sum is σ = 204886955520. Its totient is φ = 80393845248.

The previous prime is 131043340403. The next prime is 131043340471. The reversal of 131043340413 is 314043340131.

131043340413 is a `hidden beast` number, since 1 + 310 + 4 + 3 + 340 + 4 + 1 + 3 = 666.

It is not a de Polignac number, because 131043340413 - 25 = 131043340381 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131043340403) 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 47 ways as a sum of consecutive naturals, for example, 7678656 + ... + 7695702.

It is an arithmetic number, because the mean of its divisors is an integer number (4268478240).

Almost surely, 2131043340413 is an apocalyptic number.

It is an amenable number.

131043340413 is a deficient number, since it is larger than the sum of its proper divisors (73843615107).

131043340413 is a wasteful number, since it uses less digits than its factorization.

131043340413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18186 (or 18183 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 131043340413 its reverse (314043340131), we get a palindrome (445086680544).

The spelling of 131043340413 in words is "one hundred thirty-one billion, forty-three million, three hundred forty thousand, four hundred thirteen".

Divisors: 1 3 9 17 47 51 141 153 423 799 1069 2397 3207 7191 9621 17047 18173 50243 51141 54519 150729 153423 163557 289799 452187 801209 854131 869397 2403627 2562393 2608191 7210881 7687179 13620553 18223243 40861659 54669729 122584977 164009187 309795131 856492421 929385393 2569477263 2788156179 7708431789 14560371157 43681113471 131043340413