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21145220505 = 34552210421
BaseRepresentation
bin10011101100010110…
…100111010110011001
32000120122110111110000
4103230112213112121
5321301134024010
613414115243213
71345666260123
oct235426472631
960518414400
1021145220505
118a70a20152
1241215a9509
131cbca2c3c6
141048436213
1583b5857c0
hex4ec5a7599

21145220505 has 20 divisors (see below), whose sum is σ = 37904766372. Its totient is φ = 11277450720.

The previous prime is 21145220491. The next prime is 21145220527. The reversal of 21145220505 is 50502254112.

21145220505 is a `hidden beast` number, since 2 + 1 + 1 + 452 + 205 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5549207049 + 15596013456 = 74493^2 + 124884^2 .

It is not a de Polignac number, because 21145220505 - 210 = 21145219481 is a prime.

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

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 26104806 + ... + 26105615.

Almost surely, 221145220505 is an apocalyptic number.

It is an amenable number.

21145220505 is a deficient number, since it is larger than the sum of its proper divisors (16759545867).

21145220505 is an equidigital number, since it uses as much as digits as its factorization.

21145220505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52210438 (or 52210429 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 21145220505 its reverse (50502254112), we get a palindrome (71647474617).

The spelling of 21145220505 in words is "twenty-one billion, one hundred forty-five million, two hundred twenty thousand, five hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 405 52210421 156631263 261052105 469893789 783156315 1409681367 2349468945 4229044101 7048406835 21145220505