Search a number
-
+
131683858461 = 3320832341421
BaseRepresentation
bin111101010100011111…
…0000011100000011101
3110120220021102010012000
41322220332003200131
54124142031432321
6140254510032513
712341151220461
oct1725076034035
9416807363160
10131683858461
11509351179a1
12216307a8739
13c5579bbc9c
146532d8c4a1
15365aac9826
hex1ea8f8381d

131683858461 has 16 divisors (see below), whose sum is σ = 195180937920. Its totient is φ = 87747055920.

The previous prime is 131683858417. The next prime is 131683858469. The reversal of 131683858461 is 164858386131.

It is a happy number.

131683858461 is a `hidden beast` number, since 13 + 16 + 8 + 38 + 584 + 6 + 1 = 666.

It is not a de Polignac number, because 131683858461 - 27 = 131683858333 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131683858398 and 131683858407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131683858469) 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 15 ways as a sum of consecutive naturals, for example, 1114470 + ... + 1226951.

It is an arithmetic number, because the mean of its divisors is an integer number (12198808620).

Almost surely, 2131683858461 is an apocalyptic number.

It is an amenable number.

131683858461 is a deficient number, since it is larger than the sum of its proper divisors (63497079459).

131683858461 is a wasteful number, since it uses less digits than its factorization.

131683858461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2343513 (or 2343507 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 131683858461 in words is "one hundred thirty-one billion, six hundred eighty-three million, eight hundred fifty-eight thousand, four hundred sixty-one".

Divisors: 1 3 9 27 2083 6249 18747 56241 2341421 7024263 21072789 63218367 4877179943 14631539829 43894619487 131683858461