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131278112641 = 1356571785101
BaseRepresentation
bin111101001000011001…
…0010000011110000001
3110112211222221002120001
41322100302100132001
54122324144101031
6140150333320001
712325123355164
oct1722062203601
9415758832501
10131278112641
1150747088075
1221538936001
13c4c19182c0
1464d512dadb
15363517d861
hex1e90c90781

131278112641 has 8 divisors (see below), whose sum is σ = 141401499624. Its totient is φ = 121158307200.

The previous prime is 131278112611. The next prime is 131278112687. The reversal of 131278112641 is 146211872131.

It can be written as a sum of positive squares in 4 ways, for example, as 13995836416 + 117282276225 = 118304^2 + 342465^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131278112641 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131278112641.

It is not an unprimeable number, because it can be changed into a prime (131278112611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 819010 + ... + 966091.

It is an arithmetic number, because the mean of its divisors is an integer number (17675187453).

Almost surely, 2131278112641 is an apocalyptic number.

It is an amenable number.

131278112641 is a deficient number, since it is larger than the sum of its proper divisors (10123386983).

131278112641 is a wasteful number, since it uses less digits than its factorization.

131278112641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790771.

The product of its digits is 16128, while the sum is 37.

Adding to 131278112641 its reverse (146211872131), we get a palindrome (277489984772).

The spelling of 131278112641 in words is "one hundred thirty-one billion, two hundred seventy-eight million, one hundred twelve thousand, six hundred forty-one".

Divisors: 1 13 5657 73541 1785101 23206313 10098316357 131278112641