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11141020441100 = 22521121948460289
BaseRepresentation
bin1010001000011111100010…
…0100001101101000001100
31110110001220212111100002102
42202013320210031220030
52430013302213103400
635410040353014232
72226624605150504
oct242077044155014
943401825440072
1011141020441100
113605975658600
1212bb255254378
1362a79452c344
142a732a512a04
15144c0bc989d5
hexa21f890da0c

11141020441100 has 108 divisors (see below), whose sum is σ = 27972248593800. Its totient is φ = 3838054809600.

The previous prime is 11141020441097. The next prime is 11141020441147. The reversal of 11141020441100 is 114402014111.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24000245 + ... + 24460044.

Almost surely, 211141020441100 is an apocalyptic number.

11141020441100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11141020441100 is an abundant number, since it is smaller than the sum of its proper divisors (16831228152700).

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

11141020441100 is a wasteful number, since it uses less digits than its factorization.

11141020441100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48460344 (or 48460326 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 11141020441100 its reverse (114402014111), we get a palindrome (11255422455211).

The spelling of 11141020441100 in words is "eleven trillion, one hundred forty-one billion, twenty million, four hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 121 190 209 220 242 275 380 418 475 484 550 605 836 950 1045 1100 1210 1900 2090 2299 2420 3025 4180 4598 5225 6050 9196 10450 11495 12100 20900 22990 45980 57475 114950 229900 48460289 96920578 193841156 242301445 484602890 533063179 920745491 969205780 1066126358 1211507225 1841490982 2132252716 2423014450 2665315895 3682981964 4603727455 4846028900 5330631790 5863694969 9207454910 10128200401 10661263580 11727389938 13326579475 18414909820 20256400802 23018637275 23454779876 26653158950 29318474845 40512801604 46037274550 50641002005 53306317900 58636949690 92074549100 101282004010 111410204411 117273899380 146592374225 202564008020 222820408822 253205010025 293184748450 445640817644 506410020050 557051022055 586369496900 1012820040100 1114102044110 2228204088220 2785255110275 5570510220550 11141020441100