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131138277765 = 35117431069687
BaseRepresentation
bin111101000100001110…
…0110101000110000101
3110112111020210202011120
41322020130311012011
54122032344342030
6140124420224153
712321504653265
oct1721034650605
9415436722146
10131138277765
1150685159060
12214b9b3b059
13c49b968181
1464c072d7a5
153627c5b010
hex1e88735185

131138277765 has 32 divisors (see below), whose sum is σ = 229204187136. Its totient is φ = 63496560960.

The previous prime is 131138277757. The next prime is 131138277769. The reversal of 131138277765 is 567772831131.

It is not a de Polignac number, because 131138277765 - 23 = 131138277757 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131138277769) 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 31 ways as a sum of consecutive naturals, for example, 412249 + ... + 657438.

It is an arithmetic number, because the mean of its divisors is an integer number (7162630848).

Almost surely, 2131138277765 is an apocalyptic number.

131138277765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131138277765 is a deficient number, since it is larger than the sum of its proper divisors (98065909371).

131138277765 is a wasteful number, since it uses less digits than its factorization.

131138277765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070449.

The product of its digits is 1481760, while the sum is 51.

The spelling of 131138277765 in words is "one hundred thirty-one billion, one hundred thirty-eight million, two hundred seventy-seven thousand, seven hundred sixty-five".

Divisors: 1 3 5 11 15 33 55 165 743 2229 3715 8173 11145 24519 40865 122595 1069687 3209061 5348435 11766557 16045305 35299671 58832785 176498355 794777441 2384332323 3973887205 8742551851 11921661615 26227655553 43712759255 131138277765