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36131131 = 734631069
BaseRepresentation
bin1000100111010…
…1000100111011
32111222122121001
42021311010323
533222144011
63330225431
7616052401
oct211650473
974878531
1036131131
1119438943
1210125277
13764088a
144b27471
15328a7c1
hex227513b

36131131 has 8 divisors (see below), whose sum is σ = 36739520. Its totient is φ = 35525952.

The previous prime is 36131113. The next prime is 36131149. The reversal of 36131131 is 13113163.

36131131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (36131113) and next prime (36131149).

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 36131131 - 25 = 36131099 is a prime.

It is a super-2 number, since 2×361311312 = 2610917254678322, 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 = 36131099 and 36131108.

It is not an unprimeable number, because it can be changed into a prime (36131101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33265 + ... + 34333.

It is an arithmetic number, because the mean of its divisors is an integer number (4592440).

Almost surely, 236131131 is an apocalyptic number.

36131131 is a deficient number, since it is larger than the sum of its proper divisors (608389).

36131131 is a wasteful number, since it uses less digits than its factorization.

36131131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605.

The product of its digits is 162, while the sum is 19.

The square root of 36131131 is about 6010.9176504091. The cubic root of 36131131 is about 330.5931511518.

Adding to 36131131 its reverse (13113163), we get a palindrome (49244294).

The spelling of 36131131 in words is "thirty-six million, one hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 73 463 1069 33799 78037 494947 36131131