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12032331300 = 22345211135043
BaseRepresentation
bin10110011010010111…
…01100111000100100
31011001112221202120000
423031023230320210
5144120234100200
65305542341300
7604113062043
oct131513547044
934045852500
1012032331300
115114a34660
1223b972a830
131199a74982
1482203655a
154a650a300
hex2cd2ece24

12032331300 has 180 divisors, whose sum is σ = 42550203696. Its totient is φ = 2916907200.

The previous prime is 12032331299. The next prime is 12032331319. The reversal of 12032331300 is 313323021.

Added to its reverse (313323021) it gives a square (12345654321 = 1111112).

12032331300 is a `hidden beast` number, since 1 + 2 + 0 + 32 + 331 + 300 = 666.

12032331300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 21579 + ... + 156621.

Almost surely, 212032331300 is an apocalyptic number.

12032331300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12032331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21275101848).

12032331300 is an abundant number, since it is smaller than the sum of its proper divisors (30517872396).

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

12032331300 is a wasteful number, since it uses less digits than its factorization.

12032331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135080 (or 135064 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12032331300 its reverse (313323021), we get a palindrome (12345654321).

The spelling of 12032331300 in words is "twelve billion, thirty-two million, three hundred thirty-one thousand, three hundred".