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32003113 = 37297241
BaseRepresentation
bin111101000010…
…1010000101001
32020012221000111
41322011100221
531143044423
63101534321
7536010352
oct172052051
966187014
1032003113
111707945a
12a8743a1
13682696c
144370d29
152c2260d
hex1e85429

32003113 has 12 divisors (see below), whose sum is σ = 33368412. Its totient is φ = 30689280.

The previous prime is 32003107. The next prime is 32003117. The reversal of 32003113 is 31130023.

It can be written as a sum of positive squares in 6 ways, for example, as 9078169 + 22924944 = 3013^2 + 4788^2 .

It is not a de Polignac number, because 32003113 - 221 = 29905961 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 32003093 and 32003102.

It is not an unprimeable number, because it can be changed into a prime (32003117) 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 11 ways as a sum of consecutive naturals, for example, 132673 + ... + 132913.

It is an arithmetic number, because the mean of its divisors is an integer number (2780701).

Almost surely, 232003113 is an apocalyptic number.

It is an amenable number.

32003113 is a deficient number, since it is larger than the sum of its proper divisors (1365299).

32003113 is an equidigital number, since it uses as much as digits as its factorization.

32003113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 32003113 is about 5657.1293957271. The cubic root of 32003113 is about 317.4905050171.

Adding to 32003113 its reverse (31130023), we get a palindrome (63133136).

The spelling of 32003113 in words is "thirty-two million, three thousand, one hundred thirteen".

Divisors: 1 37 97 241 1369 3589 8917 23377 132793 329929 864949 32003113