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132116254317 = 3218181102673
BaseRepresentation
bin111101100001010111…
…1100000111001101101
3110122000102001002210100
41323002233200321231
54131033230114232
6140405433501313
712354651430005
oct1730257407155
9418012032710
10132116254317
11510371aa343
1221731571839
13c5c6463c18
146574587005
153683a3bc7c
hex1ec2be0e6d

132116254317 has 12 divisors (see below), whose sum is σ = 191888926684. Its totient is φ = 87590885760.

The previous prime is 132116254313. The next prime is 132116254327. The reversal of 132116254317 is 713452611231.

132116254317 is a `hidden beast` number, since 1 + 3 + 2 + 11 + 625 + 4 + 3 + 17 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 55570518756 + 76545735561 = 235734^2 + 276669^2 .

It is not a de Polignac number, because 132116254317 - 22 = 132116254313 is a prime.

It is a super-2 number, since 2×1321162543172 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132116254313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40549708 + ... + 40552965.

Almost surely, 2132116254317 is an apocalyptic number.

It is an amenable number.

132116254317 is a deficient number, since it is larger than the sum of its proper divisors (59772672367).

132116254317 is a wasteful number, since it uses less digits than its factorization.

132116254317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81102860 (or 81102857 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

Adding to 132116254317 its reverse (713452611231), we get a palindrome (845568865548).

The spelling of 132116254317 in words is "one hundred thirty-two billion, one hundred sixteen million, two hundred fifty-four thousand, three hundred seventeen".

Divisors: 1 3 9 181 543 1629 81102673 243308019 729924057 14679583813 44038751439 132116254317