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31727133 = 34391693
BaseRepresentation
bin111100100000…
…1111000011101
32012200220110000
41321001320131
531110232013
63052004513
7533450634
oct171017035
965626400
1031727133
1116a00079
12a760739
13675b169
1442dc51b
152bba973
hex1e41e1d

31727133 has 10 divisors (see below), whose sum is σ = 47394974. Its totient is φ = 21151368.

The previous prime is 31727107. The next prime is 31727141. The reversal of 31727133 is 33172713.

It can be written as a sum of positive squares in only one way, i.e., 18896409 + 12830724 = 4347^2 + 3582^2 .

It is not a de Polignac number, because 31727133 - 29 = 31726621 is a prime.

It is a super-2 number, since 2×317271332 = 2013221936799378, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 31727097 and 31727106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31727173) 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 9 ways as a sum of consecutive naturals, for example, 195766 + ... + 195927.

Almost surely, 231727133 is an apocalyptic number.

It is an amenable number.

31727133 is a deficient number, since it is larger than the sum of its proper divisors (15667841).

31727133 is an equidigital number, since it uses as much as digits as its factorization.

31727133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391705 (or 391696 counting only the distinct ones).

The product of its digits is 2646, while the sum is 27.

The square root of 31727133 is about 5632.6843511775. The cubic root of 31727133 is about 316.5752387332.

Adding to 31727133 its reverse (33172713), we get a palindrome (64899846).

The spelling of 31727133 in words is "thirty-one million, seven hundred twenty-seven thousand, one hundred thirty-three".

Divisors: 1 3 9 27 81 391693 1175079 3525237 10575711 31727133