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110011200001011 = 32172375371303781
BaseRepresentation
bin11001000000110111111010…
…011111110101001111110011
3112102111222010200022210011100
4121000313322133311033303
5103404410414200013021
61025550240402415443
732113022043122661
oct3100677237651763
9472458120283140
10110011200001011
1132064540461781
1210408aa8361583
13495001c7836aa
141d247db5d3c31
15cab99cb0b626
hex640dfa7f53f3

110011200001011 has 144 divisors (see below), whose sum is σ = 179123933521728. Its totient is φ = 64965564518400.

The previous prime is 110011200001009. The next prime is 110011200001051. The reversal of 110011200001011 is 110100002110011.

It is not a de Polignac number, because 110011200001011 - 21 = 110011200001009 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 110011200000984 and 110011200001002.

It is not an unprimeable number, because it can be changed into a prime (110011200001051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 361987941 + ... + 362291721.

It is an arithmetic number, because the mean of its divisors is an integer number (1243916205012).

Almost surely, 2110011200001011 is an apocalyptic number.

110011200001011 is a deficient number, since it is larger than the sum of its proper divisors (69112733520717).

110011200001011 is a wasteful number, since it uses less digits than its factorization.

110011200001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303982 (or 303962 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 110011200001011 its reverse (110100002110011), we get a palindrome (220111202111022).

The spelling of 110011200001011 in words is "one hundred ten trillion, eleven billion, two hundred million, one thousand, eleven".

Divisors: 1 3 9 17 37 51 53 71 111 153 159 213 289 333 477 629 639 867 901 1207 1887 1961 2601 2627 2703 3621 3763 5661 5883 7881 8109 10693 10863 11289 15317 17649 20519 23643 32079 33337 33867 44659 45951 61557 63971 96237 100011 133977 137853 139231 184671 191913 300033 303781 401931 417693 566729 575739 759203 911343 1087507 1253079 1700187 2277609 2366927 2734029 3262521 5100561 5164277 6832827 7100781 9787563 11239897 15492831 16100393 21302343 21568451 33719691 40237759 46478493 48301179 64705353 87792709 101159073 120713277 144903537 191078249 194116059 263378127 273706681 362139831 366663667 573234747 595714541 790134381 798032687 821120043 1099991001 1143127903 1719704241 1787143623 2394098061 2463360129 3248330233 3299973003 3429383709 4653013577 5361430869 6233282339 7182294183 9744990699 10127147197 10288151127 13566555679 13959040731 18699847017 19433174351 29234972097 30381441591 40699667037 41877122193 42295732411 56099541051 58299523053 91144324773 122099001111 126887197233 172161502349 174898569159 230631446543 330363963967 380661591699 516484507047 691894339629 719027450987 991091891901 1549453521141 2075683018887 2157082352961 2973275675703 6471247058883 12223466666779 36670400000337 110011200001011