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12334525221105 = 3251092514684041
BaseRepresentation
bin1011001101111101101011…
…1111101000100011110001
31121200011120021022002021100
42303133122333220203301
53104042101424033410
642122222550315013
72412066014330223
oct263373277504361
947604507262240
1012334525221105
113a26051a2178a
12147261b658a69
136b61aa27aab9
14308dcc15c413
15165cb16298c0
hexb37dafe88f1

12334525221105 has 24 divisors (see below), whose sum is σ = 21575989080360. Its totient is φ = 6518061031680.

The previous prime is 12334525221103. The next prime is 12334525221131. The reversal of 12334525221105 is 50112252543321.

12334525221105 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 4 + 525 + 2 + 21 + 105 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 245747241441 + 12088777979664 = 495729^2 + 3476892^2 .

It is not a de Polignac number, because 12334525221105 - 21 = 12334525221103 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12334525221105.

It is not an unprimeable number, because it can be changed into a prime (12334525221101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1257337116 + ... + 1257346925.

It is an arithmetic number, because the mean of its divisors is an integer number (898999545015).

Almost surely, 212334525221105 is an apocalyptic number.

12334525221105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12334525221105 is a deficient number, since it is larger than the sum of its proper divisors (9241463859255).

12334525221105 is a wasteful number, since it uses less digits than its factorization.

12334525221105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514684161 (or 2514684158 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 12334525221105 its reverse (50112252543321), we get a palindrome (62446777764426).

The spelling of 12334525221105 in words is "twelve trillion, three hundred thirty-four billion, five hundred twenty-five million, two hundred twenty-one thousand, one hundred five".

Divisors: 1 3 5 9 15 45 109 327 545 981 1635 4905 2514684041 7544052123 12573420205 22632156369 37720260615 113160781845 274100560469 822301681407 1370502802345 2466905044221 4111508407035 12334525221105