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21040401305 = 57211171014547
BaseRepresentation
bin10011100110000110…
…110000101110011001
32000022100020010112102
4103212012300232121
5321042320320210
613355452453145
71343254313600
oct234606605631
960270203472
1021040401305
118a17837a10
1240b247a1b5
131ca40bc201
14103854ca37
1583227cea5
hex4e61b0b99

21040401305 has 96 divisors (see below), whose sum is σ = 34268925312. Its totient is φ = 12219648000.

The previous prime is 21040401293. The next prime is 21040401329. The reversal of 21040401305 is 50310404012.

It is not a de Polignac number, because 21040401305 - 210 = 21040400281 is a prime.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 4625042 + ... + 4629588.

It is an arithmetic number, because the mean of its divisors is an integer number (356967972).

Almost surely, 221040401305 is an apocalyptic number.

It is an amenable number.

21040401305 is a deficient number, since it is larger than the sum of its proper divisors (13228524007).

21040401305 is a wasteful number, since it uses less digits than its factorization.

21040401305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4695 (or 4688 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 21040401305 its reverse (50310404012), we get a palindrome (71350805317).

The spelling of 21040401305 in words is "twenty-one billion, forty million, four hundred one thousand, three hundred five".

Divisors: 1 5 7 11 17 35 49 55 77 85 101 119 187 245 385 505 539 595 707 833 935 1111 1309 1717 2695 3535 4165 4547 4949 5555 6545 7777 8585 9163 12019 18887 22735 24745 31829 38885 45815 50017 54439 60095 77299 84133 94435 132209 159145 222803 250085 272195 350119 386495 420665 459247 541093 661045 850289 925463 1114015 1750595 2296235 2450833 2705465 3214729 3787651 4251445 4627315 5051717 5952023 7807199 12254165 16073645 18938255 22503103 25258585 29760115 35362019 39035995 41664161 54650393 85879189 112515515 176810095 208320805 247534133 273251965 382552751 429395945 601154323 1237670665 1912763755 3005771615 4208080261 21040401305