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12404410101 = 325927186201
BaseRepresentation
bin10111000110101110…
…00100011011110101
31012000111002022201100
423203113010123311
5200401012110401
65410513320313
7616251513636
oct134327043365
935014068640
1012404410101
115295a699a6
1224a2266099
131228b8b545
1485960d88d
154c9005b86
hex2e35c46f5

12404410101 has 24 divisors (see below), whose sum is σ = 18288616320. Its totient is φ = 8099352000.

The previous prime is 12404410087. The next prime is 12404410103. The reversal of 12404410101 is 10101440421.

12404410101 is a `hidden beast` number, since 1 + 240 + 4 + 410 + 10 + 1 = 666.

It is not a de Polignac number, because 12404410101 - 26 = 12404410037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12404410103) 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 23 ways as a sum of consecutive naturals, for example, 100801 + ... + 187001.

It is an arithmetic number, because the mean of its divisors is an integer number (762025680).

Almost surely, 212404410101 is an apocalyptic number.

It is an amenable number.

12404410101 is a deficient number, since it is larger than the sum of its proper divisors (5884206219).

12404410101 is a wasteful number, since it uses less digits than its factorization.

12404410101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86537 (or 86534 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12404410101 its reverse (10101440421), we get a palindrome (22505850522).

The spelling of 12404410101 in words is "twelve billion, four hundred four million, four hundred ten thousand, one hundred one".

Divisors: 1 3 9 59 177 271 531 813 2439 15989 47967 86201 143901 258603 775809 5085859 15257577 23360471 45772731 70081413 210244239 1378267789 4134803367 12404410101