Search a number
-
+
131765514705 = 32511614363819
BaseRepresentation
bin111101010110111010…
…1100011000111010001
3110121002222001200111100
41322231311203013101
54124323432432310
6140310544135013
712343162252356
oct1725565430721
9417088050440
10131765514705
115097721a4a0
1221654007469
13c56b8ac1a6
14653db6662d
153662d58ec0
hex1eadd631d1

131765514705 has 48 divisors (see below), whose sum is σ = 253241202240. Its totient is φ = 62838979200.

The previous prime is 131765514701. The next prime is 131765514737. The reversal of 131765514705 is 507415567131.

131765514705 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 65 + 514 + 70 + 5 = 666.

It is not a de Polignac number, because 131765514705 - 22 = 131765514701 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (131765514701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2151715 + ... + 2212104.

It is an arithmetic number, because the mean of its divisors is an integer number (5275858380).

Almost surely, 2131765514705 is an apocalyptic number.

131765514705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131765514705 is a deficient number, since it is larger than the sum of its proper divisors (121475687535).

131765514705 is a wasteful number, since it uses less digits than its factorization.

131765514705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4363902 (or 4363899 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The spelling of 131765514705 in words is "one hundred thirty-one billion, seven hundred sixty-five million, five hundred fourteen thousand, seven hundred five".

Divisors: 1 3 5 9 11 15 33 45 55 61 99 165 183 305 495 549 671 915 2013 2745 3355 6039 10065 30195 4363819 13091457 21819095 39274371 48002009 65457285 144006027 196371855 240010045 266192959 432018081 720030135 798578877 1330964795 2160090405 2395736631 2928122549 3992894385 8784367647 11978683155 14640612745 26353102941 43921838235 131765514705