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11011100000010 = 23511409209938867
BaseRepresentation
bin1010000000111011100010…
…1101000011111100001010
31102222122120111021002202220
42200032320231003330022
52420401213100000020
635230232435034510
72214345215501355
oct240167055037412
942878514232686
1011011100000010
113565865989240
12129a03713ba36
1361b45ac921b6
142a0d2383729c
15141655ded240
hexa03b8b43f0a

11011100000010 has 128 divisors (see below), whose sum is σ = 28914060672000. Its totient is φ = 2661493931520.

The previous prime is 11011099999967. The next prime is 11011100000011. The reversal of 11011100000010 is 1000000111011.

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

It is not an unprimeable number, because it can be changed into a prime (11011100000011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 283282597 + ... + 283321463.

It is an arithmetic number, because the mean of its divisors is an integer number (225891099000).

Almost surely, 211011100000010 is an apocalyptic number.

11011100000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11011100000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14457030336000).

11011100000010 is an abundant number, since it is smaller than the sum of its proper divisors (17902960671990).

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

11011100000010 is a wasteful number, since it uses less digits than its factorization.

11011100000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41396.

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

Adding to 11011100000010 its reverse (1000000111011), we get a palindrome (12011100111021).

The spelling of 11011100000010 in words is "eleven trillion, eleven billion, one hundred million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 409 818 1227 2045 2099 2454 4090 4198 4499 6135 6297 8998 10495 12270 12594 13497 20990 22495 23089 26994 31485 38867 44990 46178 62970 67485 69267 77734 115445 116601 134970 138534 194335 230890 233202 346335 388670 427537 583005 692670 855074 858491 1166010 1282611 1716982 2137685 2565222 2575473 4275370 4292455 5150946 6413055 8584910 9443401 12826110 12877365 15896603 18886802 25754730 28330203 31793206 47217005 47689809 56660406 79483015 81581833 94434010 95379618 141651015 158966030 163163666 174862633 238449045 244745499 283302030 349725266 407909165 476898090 489490998 524587899 815818330 874313165 897400163 1049175798 1223727495 1748626330 1794800326 2447454990 2622939495 2692200489 4487000815 5245878990 5384400978 8974001630 13461002445 26922004890 33366969697 66733939394 100100909091 166834848485 200201818182 333669696970 367036666667 500504545455 734073333334 1001009090910 1101110000001 1835183333335 2202220000002 3670366666670 5505550000005 11011100000010