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13530523201 = 134125385597
BaseRepresentation
bin11001001100111101…
…10110011001000001
31021220222001210110221
430212132312121001
5210202303220301
610114342023041
7656204356336
oct144636663101
937828053427
1013530523201
11581369a388
122757417a81
131378282c60
14924dc898d
15542ce8da1
hex3267b6641

13530523201 has 8 divisors (see below), whose sum is σ = 14926731624. Its totient is φ = 12185086080.

The previous prime is 13530523163. The next prime is 13530523211. The reversal of 13530523201 is 10232503531.

13530523201 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 178489600 + 13352033601 = 13360^2 + 115551^2 .

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 13530523201 - 217 = 13530392129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13530523211) 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, 12692266 + ... + 12693331.

It is an arithmetic number, because the mean of its divisors is an integer number (1865841453).

Almost surely, 213530523201 is an apocalyptic number.

It is an amenable number.

13530523201 is a deficient number, since it is larger than the sum of its proper divisors (1396208423).

13530523201 is a wasteful number, since it uses less digits than its factorization.

13530523201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25385651.

The product of its (nonzero) digits is 2700, while the sum is 25.

The spelling of 13530523201 in words is "thirteen billion, five hundred thirty million, five hundred twenty-three thousand, two hundred one".

Divisors: 1 13 41 533 25385597 330012761 1040809477 13530523201