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13530340521 = 34612738381
BaseRepresentation
bin11001001100111100…
…01001110010101001
31021220221201111220000
430212132021302221
5210202231344041
610114334053213
7656202665625
oct144636116251
937827644800
1013530340521
115813585105
12275734a209
13137821aa69
14924d7c185
15542caebb6
hex326789ca9

13530340521 has 20 divisors (see below), whose sum is σ = 20543341764. Its totient is φ = 8872351200.

The previous prime is 13530340517. The next prime is 13530340529. The reversal of 13530340521 is 12504303531.

13530340521 is a `hidden beast` number, since 135 + 3 + 0 + 3 + 4 + 0 + 521 = 666.

13530340521 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 2 ways, for example, as 3422250000 + 10108090521 = 58500^2 + 100539^2 .

It is not a de Polignac number, because 13530340521 - 22 = 13530340517 is a prime.

It is a super-2 number, since 2×135303405212 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13530340529) 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 19 ways as a sum of consecutive naturals, for example, 1364250 + ... + 1374131.

Almost surely, 213530340521 is an apocalyptic number.

It is an amenable number.

13530340521 is a deficient number, since it is larger than the sum of its proper divisors (7013001243).

13530340521 is an equidigital number, since it uses as much as digits as its factorization.

13530340521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738454 (or 2738445 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 13530340521 in words is "thirteen billion, five hundred thirty million, three hundred forty thousand, five hundred twenty-one".

Divisors: 1 3 9 27 61 81 183 549 1647 4941 2738381 8215143 24645429 73936287 167041241 221808861 501123723 1503371169 4510113507 13530340521