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12282140535 = 3571726925579
BaseRepresentation
bin10110111000001001…
…01001011101110111
31011200222000101101220
423130010221131313
5200123211444120
65350424521423
7613235320620
oct133404513567
934628011356
1012282140535
115232a47a75
122469320273
13120974b5a2
148472a2a47
154bd402b40
hex2dc129777

12282140535 has 64 divisors (see below), whose sum is σ = 23869209600. Its totient is φ = 5264566272.

The previous prime is 12282140513. The next prime is 12282140537. The reversal of 12282140535 is 53504128221.

It is not a de Polignac number, because 12282140535 - 25 = 12282140503 is a prime.

It is a super-2 number, since 2×122821405352 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12282140496 and 12282140505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12282140537) 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 63 ways as a sum of consecutive naturals, for example, 467376 + ... + 492954.

It is an arithmetic number, because the mean of its divisors is an integer number (372956400).

Almost surely, 212282140535 is an apocalyptic number.

12282140535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12282140535 is a deficient number, since it is larger than the sum of its proper divisors (11587069065).

12282140535 is a wasteful number, since it uses less digits than its factorization.

12282140535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25880.

The product of its (nonzero) digits is 19200, while the sum is 33.

Adding to 12282140535 its reverse (53504128221), we get a palindrome (65786268756).

The spelling of 12282140535 in words is "twelve billion, two hundred eighty-two million, one hundred forty thousand, five hundred thirty-five".

Divisors: 1 3 5 7 15 17 21 35 51 85 105 119 255 269 357 595 807 1345 1785 1883 4035 4573 5649 9415 13719 22865 25579 28245 32011 68595 76737 96033 127895 160055 179053 383685 434843 480165 537159 895265 1304529 2174215 2685795 3043901 6522645 6880751 9131703 15219505 20642253 34403755 45658515 48165257 103211265 116972767 144495771 240826285 350918301 584863835 722478855 818809369 1754591505 2456428107 4094046845 12282140535