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12103321100 = 225213192961277
BaseRepresentation
bin10110100010110101…
…00000011000001100
31011020111112102020212
423101122200120030
5144241422233400
65321000101552
7605634350303
oct132132403014
934214472225
1012103321100
115151011312
1224194648b8
1311ab69bb80
1482b63543a
154ac87e335
hex2d16a060c

12103321100 has 288 divisors, whose sum is σ = 31417780800. Its totient is φ = 4006195200.

The previous prime is 12103321093. The next prime is 12103321117. The reversal of 12103321100 is 112330121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43694162 + ... + 43694438.

Almost surely, 212103321100 is an apocalyptic number.

12103321100 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 12103321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15708890400).

12103321100 is an abundant number, since it is smaller than the sum of its proper divisors (19314459700).

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

12103321100 is a wasteful number, since it uses less digits than its factorization.

12103321100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 12103321100 its reverse (112330121), we get a palindrome (12215651221).

The spelling of 12103321100 in words is "twelve billion, one hundred three million, three hundred twenty-one thousand, one hundred".