Search a number
-
+
131579510401 = 181726958621
BaseRepresentation
bin111101010001010111…
…1111111111010000001
3110120122000001200120001
41322202233333322001
54123433323313101
6140240301320001
712335443245643
oct1724257777201
9416560050501
10131579510401
1150891226729
1221601866001
13c53c1b5381
146523188893
153651866901
hex1ea2bffe81

131579510401 has 4 divisors (see below), whose sum is σ = 132306469204. Its totient is φ = 130852551600.

The previous prime is 131579510393. The next prime is 131579510521. The reversal of 131579510401 is 104015975131.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 104015975131 = 278849373019.

It can be written as a sum of positive squares in 2 ways, for example, as 17848692801 + 113730817600 = 133599^2 + 337240^2 .

It is a cyclic number.

It is not a de Polignac number, because 131579510401 - 23 = 131579510393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131579580401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 363479130 + ... + 363479491.

It is an arithmetic number, because the mean of its divisors is an integer number (33076617301).

Almost surely, 2131579510401 is an apocalyptic number.

It is an amenable number.

131579510401 is a deficient number, since it is larger than the sum of its proper divisors (726958803).

131579510401 is an equidigital number, since it uses as much as digits as its factorization.

131579510401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726958802.

The product of its (nonzero) digits is 18900, while the sum is 37.

The spelling of 131579510401 in words is "one hundred thirty-one billion, five hundred seventy-nine million, five hundred ten thousand, four hundred one".

Divisors: 1 181 726958621 131579510401