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12665566100 = 22521121767919
BaseRepresentation
bin10111100101110110…
…10011001110010100
31012200200111102101202
423302323103032110
5201414341103400
65452443012032
7625602351455
oct136273231624
935620442352
1012665566100
11540a422300
12255580a018
13126b008a15
1488219112c
154e1de04d5
hex2f2ed3394

12665566100 has 216 divisors, whose sum is σ = 32499794880. Its totient is φ = 4265395200.

The previous prime is 12665566099. The next prime is 12665566103. The reversal of 12665566100 is 166556621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12665566103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13781441 + ... + 13782359.

Almost surely, 212665566100 is an apocalyptic number.

12665566100 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 12665566100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16249897440).

12665566100 is an abundant number, since it is smaller than the sum of its proper divisors (19834228780).

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

12665566100 is a wasteful number, since it uses less digits than its factorization.

12665566100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 38.

The spelling of 12665566100 in words is "twelve billion, six hundred sixty-five million, five hundred sixty-six thousand, one hundred".