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13513500009 = 3211953125617
BaseRepresentation
bin11001001010111011…
…11010010101101001
31021212210000221001100
430211131322111221
5210133424000014
610112533112013
7655606566132
oct144535722551
937783027040
1013513500009
115805022629
122751788609
1313748a2769
14922a36c89
15541585009
hex32577a569

13513500009 has 12 divisors (see below), whose sum is σ = 19521288436. Its totient is φ = 9008174592.

The previous prime is 13513499983. The next prime is 13513500029. The reversal of 13513500009 is 90000531531.

It can be written as a sum of positive squares in 2 ways, for example, as 6404480784 + 7109019225 = 80028^2 + 84315^2 .

It is not a de Polignac number, because 13513500009 - 211 = 13513497961 is a prime.

It is a super-2 number, since 2×135135000092 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13513500029) 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 11 ways as a sum of consecutive naturals, for example, 44769 + ... + 170385.

Almost surely, 213513500009 is an apocalyptic number.

It is an amenable number.

13513500009 is a deficient number, since it is larger than the sum of its proper divisors (6007788427).

13513500009 is a wasteful number, since it uses less digits than its factorization.

13513500009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137576 (or 137573 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 27.

The spelling of 13513500009 in words is "thirteen billion, five hundred thirteen million, five hundred thousand, nine".

Divisors: 1 3 9 11953 35859 107577 125617 376851 1130553 1501500001 4504500003 13513500009