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131138871765 = 35111438755243
BaseRepresentation
bin111101000100001111…
…1000110000111010101
3110112111021220220222120
41322020133012013111
54122033022344030
6140124441050153
712321513006126
oct1721037060725
9415437826876
10131138871765
1150685524370
12214ba186959
13c49bb15655
1464c084604d
153627d27010
hex1e887c61d5

131138871765 has 32 divisors (see below), whose sum is σ = 228916993536. Its totient is φ = 63576912960.

The previous prime is 131138871761. The next prime is 131138871791. The reversal of 131138871765 is 567178831131.

It is not a de Polignac number, because 131138871765 - 22 = 131138871761 is a prime.

It is a super-2 number, since 2×1311388717652 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131138871761) 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, 2346234 + ... + 2401476.

It is an arithmetic number, because the mean of its divisors is an integer number (7153656048).

Almost surely, 2131138871765 is an apocalyptic number.

131138871765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131138871765 is a deficient number, since it is larger than the sum of its proper divisors (97778121771).

131138871765 is a wasteful number, since it uses less digits than its factorization.

131138871765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69649.

The product of its digits is 846720, while the sum is 51.

The spelling of 131138871765 in words is "one hundred thirty-one billion, one hundred thirty-eight million, eight hundred seventy-one thousand, seven hundred sixty-five".

Divisors: 1 3 5 11 15 33 55 165 14387 43161 55243 71935 158257 165729 215805 276215 474771 607673 791285 828645 1823019 2373855 3038365 9115095 794781041 2384343123 3973905205 8742591451 11921715615 26227774353 43712957255 131138871765