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13315319985 = 35111929167877
BaseRepresentation
bin11000110011010011…
…11010100010110001
31021100222010100011110
430121221322202301
5204232210214420
610041133303533
7650652231612
oct143151724261
937328110143
1013315319985
115713172a90
1226b7334ba9
131342804986
149045a9c09
1552de89ee0
hex319a7a8b1

13315319985 has 128 divisors (see below), whose sum is σ = 25488691200. Its totient is φ = 5863173120.

The previous prime is 13315319971. The next prime is 13315319999. The reversal of 13315319985 is 58991351331.

13315319985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13315319971) and next prime (13315319999).

It is not a de Polignac number, because 13315319985 - 211 = 13315317937 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 127 ways as a sum of consecutive naturals, for example, 15182367 + ... + 15183243.

It is an arithmetic number, because the mean of its divisors is an integer number (199130400).

Almost surely, 213315319985 is an apocalyptic number.

13315319985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13315319985 is a deficient number, since it is larger than the sum of its proper divisors (12173371215).

13315319985 is a wasteful number, since it uses less digits than its factorization.

13315319985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111.

The product of its digits is 437400, while the sum is 48.

The spelling of 13315319985 in words is "thirteen billion, three hundred fifteen million, three hundred nineteen thousand, nine hundred eighty-five".

Divisors: 1 3 5 11 15 19 29 33 55 57 87 95 145 165 167 209 285 319 435 501 551 627 835 877 957 1045 1595 1653 1837 2505 2631 2755 3135 3173 4385 4785 4843 5511 6061 8265 9185 9519 9647 13155 14529 15865 16663 18183 24215 25433 27555 28941 30305 34903 47595 48235 49989 53273 72645 76299 83315 90915 92017 104709 127165 144705 146459 159819 174515 183293 249945 266365 276051 279763 381495 439377 460085 483227 523545 549879 732295 799095 839289 916465 1012187 1380255 1398815 1449681 1611049 2196885 2416135 2749395 2782721 3036561 4196445 4247311 4833147 5060935 5315497 7248405 8055245 8348163 12741933 13913605 15182805 15946491 21236555 24165735 26577485 30609931 41740815 46720421 63709665 79732455 80698909 91829793 140161263 153049655 233602105 242096727 403494545 459148965 700806315 887687999 1210483635 2663063997 4438439995 13315319985