Search a number
-
+
13882228305 = 351117191012579
BaseRepresentation
bin11001110110111000…
…11111111001010001
31022211110212021011220
430323130133321101
5211412322301210
610213304155253
71001004664551
oct147334377121
938743767156
1013882228305
115984179660
122835168b29
1314030b529a
149599bb161
15563b1cc70
hex33b71fe51

13882228305 has 128 divisors (see below), whose sum is σ = 27284428800. Its totient is φ = 5939712000.

The previous prime is 13882228291. The next prime is 13882228313. The reversal of 13882228305 is 50382228831.

It is not a de Polignac number, because 13882228305 - 213 = 13882220113 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5381506 + ... + 5384084.

It is an arithmetic number, because the mean of its divisors is an integer number (213159600).

Almost surely, 213882228305 is an apocalyptic number.

13882228305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13882228305 is a deficient number, since it is larger than the sum of its proper divisors (13402200495).

13882228305 is a wasteful number, since it uses less digits than its factorization.

13882228305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2735.

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 13882228305 in words is "thirteen billion, eight hundred eighty-two million, two hundred twenty-eight thousand, three hundred five".

Divisors: 1 3 5 11 15 17 19 33 51 55 57 85 95 101 165 187 209 255 285 303 323 505 561 627 935 969 1045 1111 1515 1615 1717 1919 2579 2805 3135 3333 3553 4845 5151 5555 5757 7737 8585 9595 10659 12895 16665 17765 18887 21109 25755 28369 28785 32623 38685 43843 49001 53295 56661 63327 85107 94435 97869 105545 131529 141845 147003 163115 219215 245005 260479 283305 316635 358853 425535 482273 489345 539011 657645 735015 781437 833017 1076559 1302395 1446819 1617033 1794265 2411365 2499051 2695055 2865269 3907185 4165085 4428143 4949101 5382795 7234095 8085165 8595807 9163187 12495255 13284429 14326345 14847303 22140715 24745505 27489561 42979035 45815935 48709573 54440111 66422145 74236515 84134717 137447805 146128719 163320333 243547865 252404151 272200555 420673585 730643595 816601665 925481887 1262020755 2776445661 4627409435 13882228305