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12103331300 = 2252121033313
BaseRepresentation
bin10110100010110101…
…00010110111100100
31011020111112221020122
423101122202313210
5144241423100200
65321000221112
7605634422114
oct132132426744
934214487218
1012103331300
115151018a45
12241946a798
1311ab6a36c8
1482b639044
154ac882385
hex2d16a2de4

12103331300 has 18 divisors (see below), whose sum is σ = 26264229138. Its totient is φ = 4841332480.

The previous prime is 12103331293. The next prime is 12103331309. The reversal of 12103331300 is 313330121.

12103331300 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 3 ways, for example, as 671017216 + 11432314084 = 25904^2 + 106922^2 .

It is not an unprimeable number, because it can be changed into a prime (12103331309) 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 5 ways as a sum of consecutive naturals, for example, 60516557 + ... + 60516756.

It is an arithmetic number, because the mean of its divisors is an integer number (1459123841).

Almost surely, 212103331300 is an apocalyptic number.

12103331300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12103331300 is an abundant number, since it is smaller than the sum of its proper divisors (14160897838).

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

12103331300 is a wasteful number, since it uses less digits than its factorization.

12103331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121033327 (or 121033320 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 12103331300 its reverse (313330121), we get a palindrome (12416661421).

The spelling of 12103331300 in words is "twelve billion, one hundred three million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 121033313 242066626 484133252 605166565 1210333130 2420666260 3025832825 6051665650 12103331300