Search a number
-
+
11011100111010 = 2335193600759611
BaseRepresentation
bin1010000000111011100010…
…1101011111000010100010
31102222122120111110202001000
42200032320231133002202
52420401213112023020
635230232441252430
72214345216443106
oct240167055370242
942878514422030
1011011100111010
113565865a5467a
12129a037194116
1361b45b00088c
142a0d23865906
15141655e21090
hexa03b8b5f0a2

11011100111010 has 128 divisors (see below), whose sum is σ = 30909728102400. Its totient is φ = 2781627687360.

The previous prime is 11011100111009. The next prime is 11011100111071. The reversal of 11011100111010 is 1011100111011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11011100110983 and 11011100111001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 184686105 + ... + 184745715.

It is an arithmetic number, because the mean of its divisors is an integer number (241482250800).

Almost surely, 211011100111010 is an apocalyptic number.

11011100111010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11011100111010 is an abundant number, since it is smaller than the sum of its proper divisors (19898627991390).

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

11011100111010 is a wasteful number, since it uses less digits than its factorization.

11011100111010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95653 (or 95647 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 11011100111010 its reverse (1011100111011), we get a palindrome (12022200222021).

Subtracting from 11011100111010 its reverse (1011100111011), we obtain a palindrome (9999999999999).

The spelling of 11011100111010 in words is "eleven trillion, eleven billion, one hundred million, one hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1026 1710 2565 5130 36007 59611 72014 108021 119222 178833 180035 216042 298055 324063 357666 360070 536499 540105 596110 648126 684133 894165 972189 1072998 1080210 1132609 1368266 1609497 1620315 1788330 1944378 2052399 2265218 2682495 3218994 3240630 3397827 3420665 4104798 4860945 5364990 5663045 6157197 6795654 6841330 8047485 9721890 10193481 10261995 11326090 12314394 16094970 16989135 18471591 20386962 20523990 30580443 30785985 33978270 36943182 50967405 61160886 61571970 92357955 101934810 152902215 184715910 305804430 2146413277 4292826554 6439239831 10732066385 12878479662 19317719493 21464132770 32196199155 38635438986 40781852263 57953158479 64392398310 81563704526 96588597465 115906316958 122345556789 193177194930 203909261315 244691113578 289765792395 367036670367 407818522630 579531584790 611727783945 734073340734 1101110011101 1223455567890 1835183351835 2202220022202 3670366703670 5505550055505 11011100111010