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12102541 = 112293449
BaseRepresentation
bin101110001010…
…101110001101
3211202212120021
4232022232031
511044240131
61111222141
7204604243
oct56125615
924685507
1012102541
116916900
124077951
132679889
141870793
1510e0e11
hexb8ab8d

12102541 has 12 divisors (see below), whose sum is σ = 13765500. Its totient is φ = 10619840.

The previous prime is 12102533. The next prime is 12102551. The reversal of 12102541 is 14520121.

It can be written as a sum of positive squares in 2 ways, for example, as 2205225 + 9897316 = 1485^2 + 3146^2 .

It is not a de Polignac number, because 12102541 - 23 = 12102533 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102511) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1785 + ... + 5233.

It is an arithmetic number, because the mean of its divisors is an integer number (1147125).

Almost surely, 212102541 is an apocalyptic number.

12102541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12102541 is a deficient number, since it is larger than the sum of its proper divisors (1662959).

12102541 is a wasteful number, since it uses less digits than its factorization.

12102541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3500 (or 3489 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 12102541 is about 3478.8706500817. The cubic root of 12102541 is about 229.5931117347.

Adding to 12102541 its reverse (14520121), we get a palindrome (26622662).

The spelling of 12102541 in words is "twelve million, one hundred two thousand, five hundred forty-one".

Divisors: 1 11 29 121 319 3449 3509 37939 100021 417329 1100231 12102541