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13353010009 = 172997293953
BaseRepresentation
bin11000110111110011…
…01100001101011001
31021110121001012011021
430123321230031121
5204321332310014
610045001202441
7651620466223
oct143371541531
937417035137
1013353010009
115732476069
122707a90421
13134a56cc71
149095bb413
15532432624
hex31be6c359

13353010009 has 32 divisors (see below), whose sum is σ = 14842789920. Its totient is φ = 11955535872.

The previous prime is 13353010007. The next prime is 13353010039. The reversal of 13353010009 is 90001035331.

It can be written as a sum of positive squares in 16 ways, for example, as 8139609 + 13344870400 = 2853^2 + 115520^2 .

It is not a de Polignac number, because 13353010009 - 21 = 13353010007 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13353010001) 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 31 ways as a sum of consecutive naturals, for example, 14011077 + ... + 14012029.

It is an arithmetic number, because the mean of its divisors is an integer number (463837185).

Almost surely, 213353010009 is an apocalyptic number.

It is an amenable number.

13353010009 is a deficient number, since it is larger than the sum of its proper divisors (1489779911).

13353010009 is a wasteful number, since it uses less digits than its factorization.

13353010009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389.

The product of its (nonzero) digits is 1215, while the sum is 25.

The spelling of 13353010009 in words is "thirteen billion, three hundred fifty-three million, ten thousand, nine".

Divisors: 1 17 29 97 293 493 953 1649 2813 4981 8497 16201 27637 28421 47821 92441 144449 279229 469829 483157 824209 1571497 2680789 4746893 8097641 14011553 27085213 45573413 137659897 460448621 785471177 13353010009