Search a number
-
+
131300569541 = 1976317105509
BaseRepresentation
bin111101001001000011…
…1111011000111000101
3110112220120012000122002
41322102013323013011
54122400421211131
6140152454515045
712325515266201
oct1722207730705
9415816160562
10131300569541
1150758826299
1221544365a85
13c4c647bacb
1464d80d7b01
1536371176cb
hex1e921fb1c5

131300569541 has 8 divisors (see below), whose sum is σ = 131989211640. Its totient is φ = 130612151488.

The previous prime is 131300569511. The next prime is 131300569571. The reversal of 131300569541 is 145965003131.

It is an interprime number because it is at equal distance from previous prime (131300569511) and next prime (131300569571).

It can be written as a sum of positive squares in 4 ways, for example, as 70548672100 + 60751897441 = 265610^2 + 246479^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131300569541 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131300569495 and 131300569504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131300569501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1191695 + ... + 1297203.

It is an arithmetic number, because the mean of its divisors is an integer number (16498651455).

Almost surely, 2131300569541 is an apocalyptic number.

It is an amenable number.

131300569541 is a deficient number, since it is larger than the sum of its proper divisors (688642099).

131300569541 is a wasteful number, since it uses less digits than its factorization.

131300569541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112023.

The product of its (nonzero) digits is 48600, while the sum is 38.

The spelling of 131300569541 in words is "one hundred thirty-one billion, three hundred million, five hundred sixty-nine thousand, five hundred forty-one".

Divisors: 1 197 6317 105509 1244449 20785273 666500353 131300569541