Search a number
-
+
11001111000 = 2335311333367
BaseRepresentation
bin10100011111011011…
…11010000111011000
31001101200112100020120
422033231322013120
5140012241023000
65015343553240
7536421620625
oct121755720730
931350470216
1011001111000
114735927580
1221702bb820
131064226249
147650bd34c
15445c0d6a0
hex28fb7a1d8

11001111000 has 128 divisors (see below), whose sum is σ = 37443893760. Its totient is φ = 2666928000.

The previous prime is 11001110983. The next prime is 11001111041. The reversal of 11001111000 is 11110011.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 11001111000.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 133684 + ... + 199683.

It is an arithmetic number, because the mean of its divisors is an integer number (292530420).

Almost surely, 211001111000 is an apocalyptic number.

11001111000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001111000 is an abundant number, since it is smaller than the sum of its proper divisors (26442782760).

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

11001111000 is a wasteful number, since it uses less digits than its factorization.

11001111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333402 (or 333388 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 11001111000 its reverse (11110011), we get a palindrome (11012221011).

It can be divided in two parts, 1 and 1001111000, that added together give a palindrome (1001111001).

The spelling of 11001111000 in words is "eleven billion, one million, one hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 333367 666734 1000101 1333468 1666835 2000202 2666936 3333670 3667037 4000404 5000505 6667340 7334074 8000808 8334175 10001010 11001111 13334680 14668148 16668350 18335185 20002020 22002222 25002525 29336296 33336700 36670370 40004040 41670875 44004444 50005050 55005555 66673400 73340740 83341750 88008888 91675925 100010100 110011110 125012625 146681480 166683500 183351850 200020200 220022220 250025250 275027775 333367000 366703700 440044440 458379625 500050500 550055550 733407400 916759250 1000101000 1100111100 1375138875 1833518500 2200222200 2750277750 3667037000 5500555500 11001111000