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12032332002 = 233317187773
BaseRepresentation
bin10110011010010111…
…01101000011100010
31011001112221210112000
423031023231003202
5144120234111002
65305542344430
7604113064065
oct131513550342
934045853460
1012032332002
115114a35139
1223b972b116
131199a750a2
148220368dc
154a650a61c
hex2cd2ed0e2

12032332002 has 32 divisors (see below), whose sum is σ = 27601052160. Its totient is φ = 3881396880.

The previous prime is 12032331973. The next prime is 12032332009. The reversal of 12032332002 is 20023323021.

It is a happy number.

12032332002 is a `hidden beast` number, since 1 + 20 + 323 + 320 + 0 + 2 = 666.

12032332002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12032332009) 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 15 ways as a sum of consecutive naturals, for example, 3592213 + ... + 3595560.

It is an arithmetic number, because the mean of its divisors is an integer number (862532880).

Almost surely, 212032332002 is an apocalyptic number.

12032332002 is an abundant number, since it is smaller than the sum of its proper divisors (15568720158).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12032332002 is a wasteful number, since it uses less digits than its factorization.

12032332002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7187815 (or 7187809 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 12032332002 its reverse (20023323021), we get a palindrome (32055655023).

The spelling of 12032332002 in words is "twelve billion, thirty-two million, three hundred thirty-two thousand, two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1674 7187773 14375546 21563319 43126638 64689957 129379914 194069871 222820963 388139742 445641926 668462889 1336925778 2005388667 4010777334 6016166001 12032332002