Search a number
-
+
10860805305 = 3257971911861
BaseRepresentation
bin10100001110101101…
…01011110010111001
31001000220112002000100
422013112223302321
5134220331232210
64553412430013
7533066215260
oct120726536271
931026462010
1010860805305
114673706859
122131318309
13104113ca1c
147505d95d7
154387465c0
hex2875abcb9

10860805305 has 96 divisors (see below), whose sum is σ = 21862084608. Its totient is φ = 4885401600.

The previous prime is 10860805301. The next prime is 10860805309. The reversal of 10860805305 is 50350806801.

10860805305 is a `hidden beast` number, since 10 + 8 + 608 + 0 + 5 + 30 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (10860805301) and next prime (10860805309).

It is not a de Polignac number, because 10860805305 - 22 = 10860805301 is a prime.

It is a super-2 number, since 2×108608053052 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10860805305.

It is not an unprimeable number, because it can be changed into a prime (10860805301) 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 95 ways as a sum of consecutive naturals, for example, 5835075 + ... + 5836935.

It is an arithmetic number, because the mean of its divisors is an integer number (227730048).

Almost surely, 210860805305 is an apocalyptic number.

10860805305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10860805305 is an abundant number, since it is smaller than the sum of its proper divisors (11001279303).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10860805305 is a wasteful number, since it uses less digits than its factorization.

10860805305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 10860805305 in words is "ten billion, eight hundred sixty million, eight hundred five thousand, three hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 97 105 191 291 315 485 573 679 873 955 1337 1455 1719 1861 2037 2865 3395 4011 4365 5583 6111 6685 8595 9305 10185 12033 13027 16749 18527 20055 27915 30555 39081 55581 60165 65135 83745 92635 117243 129689 166743 180517 195405 277905 355451 389067 541551 586215 648445 833715 902585 1066353 1167201 1263619 1624653 1777255 1945335 2488157 2707755 3199059 3790857 5331765 5836005 6318095 7464471 8123265 11372571 12440785 15995295 18954285 22393413 34478747 37322355 56862855 103436241 111967065 172393735 241351229 310308723 517181205 724053687 1206756145 1551543615 2172161061 3620268435 10860805305