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85005131 = 3117915319
BaseRepresentation
bin1010001000100…
…01001101001011
312220221201010012
411010101031023
5133230131011
612233542135
72051350241
oct504211513
9186851105
1085005131
1143a8a682
122457494b
13147c35c3
14b40a791
1576e1a8b
hex511134b

85005131 has 8 divisors (see below), whose sum is σ = 88243200. Its totient is φ = 81798120.

The previous prime is 85005127. The next prime is 85005133. The reversal of 85005131 is 13150058.

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 85005131 - 22 = 85005127 is a prime.

It is a super-2 number, since 2×850051312 = 14451744592654322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85005097 and 85005106.

It is not an unprimeable number, because it can be changed into a prime (85005133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2111 + ... + 13208.

It is an arithmetic number, because the mean of its divisors is an integer number (11030400).

Almost surely, 285005131 is an apocalyptic number.

85005131 is a deficient number, since it is larger than the sum of its proper divisors (3238069).

85005131 is a wasteful number, since it uses less digits than its factorization.

85005131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15529.

The product of its (nonzero) digits is 600, while the sum is 23.

The square root of 85005131 is about 9219.8227206384. The cubic root of 85005131 is about 439.6918141488.

Adding to 85005131 its reverse (13150058), we get a palindrome (98155189).

It can be divided in two parts, 8500 and 5131, that added together give a palindrome (13631).

The spelling of 85005131 in words is "eighty-five million, five thousand, one hundred thirty-one".

Divisors: 1 31 179 5549 15319 474889 2742101 85005131