Search a number
-
+
131668162801 = 7160111748743
BaseRepresentation
bin111101010100000001…
…0001011100011110001
3110120212011212200210021
41322220002023203301
54124124022202201
6140253145403441
712340600626520
oct1725002134361
9416764780707
10131668162801
115092727757a
1221627499581
13c554684b06
146530c644b7
153659528ea1
hex1ea808b8f1

131668162801 has 8 divisors (see below), whose sum is σ = 150571903104. Its totient is φ = 112787923200.

The previous prime is 131668162789. The next prime is 131668162811. The reversal of 131668162801 is 108261866131.

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

It is a cyclic number.

It is not a de Polignac number, because 131668162801 - 27 = 131668162673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131668162811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5863165 + ... + 5885578.

It is an arithmetic number, because the mean of its divisors is an integer number (18821487888).

Almost surely, 2131668162801 is an apocalyptic number.

It is an amenable number.

131668162801 is a deficient number, since it is larger than the sum of its proper divisors (18903740303).

131668162801 is a wasteful number, since it uses less digits than its factorization.

131668162801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11750351.

The product of its (nonzero) digits is 82944, while the sum is 43.

The spelling of 131668162801 in words is "one hundred thirty-one billion, six hundred sixty-eight million, one hundred sixty-two thousand, eight hundred one".

Divisors: 1 7 1601 11207 11748743 82241201 18809737543 131668162801