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1131409585 = 51713310701
BaseRepresentation
bin100001101101111…
…1111000010110001
32220211221120011201
41003123333002301
54304120101320
6304134011201
740015552135
oct10333770261
92824846151
101131409585
11530718849
12276aa6b01
1315052a437
14aa3973c5
15694dc70a
hex436ff0b1

1131409585 has 8 divisors (see below), whose sum is σ = 1437555816. Its totient is φ = 851884800.

The previous prime is 1131409579. The next prime is 1131409613. The reversal of 1131409585 is 5859041311.

It can be written as a sum of positive squares in 4 ways, for example, as 94633984 + 1036775601 = 9728^2 + 32199^2 .

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

It is not a de Polignac number, because 1131409585 - 27 = 1131409457 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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, 6655266 + ... + 6655435.

It is an arithmetic number, because the mean of its divisors is an integer number (179694477).

Almost surely, 21131409585 is an apocalyptic number.

It is an amenable number.

1131409585 is a deficient number, since it is larger than the sum of its proper divisors (306146231).

1131409585 is a wasteful number, since it uses less digits than its factorization.

1131409585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13310723.

The product of its (nonzero) digits is 21600, while the sum is 37.

The square root of 1131409585 is about 33636.4324059494. The cubic root of 1131409585 is about 1042.0133535595.

The spelling of 1131409585 in words is "one billion, one hundred thirty-one million, four hundred nine thousand, five hundred eighty-five".

Divisors: 1 5 17 85 13310701 66553505 226281917 1131409585