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12032332101 = 3210113236889
BaseRepresentation
bin10110011010010111…
…01101000101000101
31011001112221210122200
423031023231011011
5144120234111401
65305542345113
7604113064266
oct131513550505
934045853580
1012032332101
115114a35219
1223b972b199
131199a7514a
1482203696d
154a650a686
hex2cd2ed145

12032332101 has 12 divisors (see below), whose sum is σ = 17552116140. Its totient is φ = 7942132800.

The previous prime is 12032332093. The next prime is 12032332133. The reversal of 12032332101 is 10123323021.

12032332101 is a `hidden beast` number, since 1 + 20 + 323 + 321 + 0 + 1 = 666.

12032332101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9589501476 + 2442830625 = 97926^2 + 49425^2 .

It is not a de Polignac number, because 12032332101 - 23 = 12032332093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12032332801) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6617536 + ... + 6619353.

It is an arithmetic number, because the mean of its divisors is an integer number (1462676345).

Almost surely, 212032332101 is an apocalyptic number.

It is an amenable number.

12032332101 is a deficient number, since it is larger than the sum of its proper divisors (5519784039).

12032332101 is a wasteful number, since it uses less digits than its factorization.

12032332101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13236996 (or 13236993 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12032332101 its reverse (10123323021), we get a palindrome (22155655122).

The spelling of 12032332101 in words is "twelve billion, thirty-two million, three hundred thirty-two thousand, one hundred one".

Divisors: 1 3 9 101 303 909 13236889 39710667 119132001 1336925789 4010777367 12032332101