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12053000505 = 357138830037
BaseRepresentation
bin10110011100110101…
…00011000100111001
31011002222211212101010
423032122203010321
5144141032004010
65312001344133
7604453546110
oct131632430471
934088755333
1012053000505
115125671747
122404638049
1311a1130880
14824a96c77
154a823e620
hex2ce6a3139

12053000505 has 32 divisors (see below), whose sum is σ = 23735142144. Its totient is φ = 5086100736.

The previous prime is 12053000471. The next prime is 12053000507. The reversal of 12053000505 is 50500035021.

12053000505 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12053000505 - 26 = 12053000441 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (12053000507) 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 31 ways as a sum of consecutive naturals, for example, 4413654 + ... + 4416383.

It is an arithmetic number, because the mean of its divisors is an integer number (741723192).

Almost surely, 212053000505 is an apocalyptic number.

12053000505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12053000505 is a deficient number, since it is larger than the sum of its proper divisors (11682141639).

12053000505 is a wasteful number, since it uses less digits than its factorization.

12053000505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8830065.

The product of its (nonzero) digits is 750, while the sum is 21.

Adding to 12053000505 its reverse (50500035021), we get a palindrome (62553035526).

The spelling of 12053000505 in words is "twelve billion, fifty-three million, five hundred five", and thus it is an aban number.

Divisors: 1 3 5 7 13 15 21 35 39 65 91 105 195 273 455 1365 8830037 26490111 44150185 61810259 114790481 132450555 185430777 309051295 344371443 573952405 803533367 927153885 1721857215 2410600101 4017666835 12053000505