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20141010513 = 3213213241953
BaseRepresentation
bin10010110000011111…
…110110111001010001
31220222122212100022100
4102300133312321101
5312222044314023
613130323431013
71312053523161
oct226037667121
956878770270
1020141010513
1185a6091338
123aa1225469
131b8c979c00
14d90d105a1
157cd321c43
hex4b07f6e51

20141010513 has 18 divisors (see below), whose sum is σ = 31502608566. Its totient is φ = 12394467072.

The previous prime is 20141010479. The next prime is 20141010529. The reversal of 20141010513 is 31501014102.

20141010513 is a `hidden beast` number, since 2 + 0 + 141 + 0 + 10 + 513 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2209658049 + 17931352464 = 47007^2 + 133908^2 .

It is not a de Polignac number, because 20141010513 - 216 = 20140944977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20141010563) 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 17 ways as a sum of consecutive naturals, for example, 6619456 + ... + 6622497.

Almost surely, 220141010513 is an apocalyptic number.

It is an amenable number.

20141010513 is a deficient number, since it is larger than the sum of its proper divisors (11361598053).

20141010513 is a wasteful number, since it uses less digits than its factorization.

20141010513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13241985 (or 13241969 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 20141010513 its reverse (31501014102), we get a palindrome (51642024615).

The spelling of 20141010513 in words is "twenty billion, one hundred forty-one million, ten thousand, five hundred thirteen".

Divisors: 1 3 9 13 39 117 169 507 1521 13241953 39725859 119177577 172145389 516436167 1549308501 2237890057 6713670171 20141010513