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12103333300 = 2252612418233
BaseRepresentation
bin10110100010110101…
…00011010110110100
31011020111120000222201
423101122203112310
5144241423131200
65321000234244
7605634431002
oct132132432664
934214500881
1012103333300
11515101a4a3
12241946b984
1311ab6a45a6
1482b639a72
154ac882c6a
hex2d16a35b4

12103333300 has 72 divisors (see below), whose sum is σ = 26808817112. Its totient is φ = 4741632000.

The previous prime is 12103333271. The next prime is 12103333327. The reversal of 12103333300 is 333330121.

12103333300 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 12 ways, for example, as 7062049296 + 5041284004 = 84036^2 + 71002^2 .

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1465984 + ... + 1474216.

Almost surely, 212103333300 is an apocalyptic number.

12103333300 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 12103333300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13404408556).

12103333300 is an abundant number, since it is smaller than the sum of its proper divisors (14705483812).

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

12103333300 is a wasteful number, since it uses less digits than its factorization.

12103333300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8549 (or 8542 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 12103333300 its reverse (333330121), we get a palindrome (12436663421).

The spelling of 12103333300 in words is "twelve billion, one hundred three million, three hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 241 244 305 482 610 964 1205 1220 1525 2410 3050 4820 6025 6100 8233 12050 14701 16466 24100 29402 32932 41165 58804 73505 82330 147010 164660 205825 294020 367525 411650 502213 735050 823300 1004426 1470100 1984153 2008852 2511065 3968306 5022130 7936612 9920765 10044260 12555325 19841530 25110650 39683060 49603825 50221300 99207650 121033333 198415300 242066666 484133332 605166665 1210333330 2420666660 3025833325 6051666650 12103333300