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12166100 = 2252121661
BaseRepresentation
bin101110011010…
…001111010100
3211220002202022
4232122033110
511103303400
61112432312
7205260452
oct56321724
924802668
1012166100
11695a631
1240a8698
13269c79b
1418899d2
151104b85
hexb9a3d4

12166100 has 18 divisors (see below), whose sum is σ = 26400654. Its totient is φ = 4866400.

The previous prime is 12166073. The next prime is 12166139. The reversal of 12166100 is 166121.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1223236 + 10942864 = 1106^2 + 3308^2 .

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 60731 + ... + 60930.

It is an arithmetic number, because the mean of its divisors is an integer number (1466703).

Almost surely, 212166100 is an apocalyptic number.

12166100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12166100 is an abundant number, since it is smaller than the sum of its proper divisors (14234554).

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

12166100 is a wasteful number, since it uses less digits than its factorization.

12166100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121675 (or 121668 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 12166100 is about 3487.9936926548. The cubic root of 12166100 is about 229.9943287827.

The spelling of 12166100 in words is "twelve million, one hundred sixty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 121661 243322 486644 608305 1216610 2433220 3041525 6083050 12166100