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13003300211 = 112537432729
BaseRepresentation
bin11000001110000111…
…01001110101110011
31020120020000002111112
430013003221311303
5203112321101321
65550145503535
7640143141146
oct140703516563
936506002445
1013003300211
115573029a00
12262a941bab
1312c2c88ba5
148b4d8805d
155118a4a5b
hex3070e9d73

13003300211 has 24 divisors (see below), whose sum is σ = 14587503840. Its totient is φ = 11578286720.

The previous prime is 13003300159. The next prime is 13003300213. The reversal of 13003300211 is 11200330031.

It is not a de Polignac number, because 13003300211 - 214 = 13003283827 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13003300213) 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, 4763495 + ... + 4766223.

It is an arithmetic number, because the mean of its divisors is an integer number (607812660).

Almost surely, 213003300211 is an apocalyptic number.

13003300211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13003300211 is a deficient number, since it is larger than the sum of its proper divisors (1584203629).

13003300211 is a wasteful number, since it uses less digits than its factorization.

13003300211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3547 (or 3536 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 13003300211 its reverse (11200330031), we get a palindrome (24203630242).

The spelling of 13003300211 in words is "thirteen billion, three million, three hundred thousand, two hundred eleven".

Divisors: 1 11 53 121 583 743 2729 6413 8173 30019 39379 89903 144637 330209 433169 1591007 2027647 4764859 17501077 22304117 107465291 245345287 1182118201 13003300211