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13300441121 = 112293375157
BaseRepresentation
bin11000110001100010…
…01010000000100001
31021022221010102012102
430120301022000201
5204214403103441
610035442340145
7650411612162
oct143061120041
937287112172
1013300441121
115705830300
1226b235a655
13133c6c5506
14902615769
1552c9eb69b
hex318c4a021

13300441121 has 12 divisors (see below), whose sum is σ = 14669428116. Its totient is φ = 12050010720.

The previous prime is 13300441117. The next prime is 13300441163. The reversal of 13300441121 is 12114400331.

It can be written as a sum of positive squares in 2 ways, for example, as 12401940496 + 898500625 = 111364^2 + 29975^2 .

It is not a de Polignac number, because 13300441121 - 22 = 13300441117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13300441093 and 13300441102.

It is not an unprimeable number, because it can be changed into a prime (13300441321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 152126 + ... + 223031.

It is an arithmetic number, because the mean of its divisors is an integer number (1222452343).

Almost surely, 213300441121 is an apocalyptic number.

13300441121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13300441121 is a deficient number, since it is larger than the sum of its proper divisors (1368986995).

13300441121 is a wasteful number, since it uses less digits than its factorization.

13300441121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375472 (or 375461 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 13300441121 its reverse (12114400331), we get a palindrome (25414841452).

The spelling of 13300441121 in words is "thirteen billion, three hundred million, four hundred forty-one thousand, one hundred twenty-one".

Divisors: 1 11 121 293 3223 35453 375157 4126727 45393997 109921001 1209131011 13300441121