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13010645521 = 292411861589
BaseRepresentation
bin11000001110111111…
…01011001000010001
31020120201211021101001
430013133223020101
5203121211124041
65551011142001
7640262443066
oct140737531021
936521737331
1013010645521
115577196605
1226312a4901
1312c465b323
148b5d3ac6d
15512356131
hex3077eb211

13010645521 has 8 divisors (see below), whose sum is σ = 13515143400. Its totient is φ = 12509871360.

The previous prime is 13010645507. The next prime is 13010645537. The reversal of 13010645521 is 12554601031.

13010645521 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1569348225 + 11441297296 = 39615^2 + 106964^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13010645521 - 25 = 13010645489 is a prime.

It is a super-3 number, since 3×130106455213 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13010645521.

It is not an unprimeable number, because it can be changed into a prime (13010685521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 923806 + ... + 937783.

It is an arithmetic number, because the mean of its divisors is an integer number (1689392925).

Almost surely, 213010645521 is an apocalyptic number.

It is an amenable number.

13010645521 is a deficient number, since it is larger than the sum of its proper divisors (504497879).

13010645521 is a wasteful number, since it uses less digits than its factorization.

13010645521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861859.

The product of its (nonzero) digits is 3600, while the sum is 28.

The spelling of 13010645521 in words is "thirteen billion, ten million, six hundred forty-five thousand, five hundred twenty-one".

Divisors: 1 29 241 6989 1861589 53986081 448642949 13010645521