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110000011010100 = 223522274889330389
BaseRepresentation
bin11001000000101101011111…
…100101001110000000110100
3112102110220020220021011010120
4121000231133211032000310
5103404220010304310400
61025541150223451540
732112144550224141
oct3100553745160064
9472426226234116
10110000011010100
113205a819580252
12104068a5156bb0
13494bc58657a03
141d240595a93c8
15cab545689ca0
hex640b5f94e034

110000011010100 has 144 divisors (see below), whose sum is σ = 319735107518400. Its totient is φ = 29198052715520.

The previous prime is 110000011010077. The next prime is 110000011010137. The reversal of 110000011010100 is 1010110000011.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332775706 + ... + 333106094.

It is an arithmetic number, because the mean of its divisors is an integer number (2220382691100).

Almost surely, 2110000011010100 is an apocalyptic number.

110000011010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110000011010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159867553759200).

110000011010100 is an abundant number, since it is smaller than the sum of its proper divisors (209735096508300).

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

110000011010100 is a wasteful number, since it uses less digits than its factorization.

110000011010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335522 (or 335515 counting only the distinct ones).

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

Adding to 110000011010100 its reverse (1010110000011), we get a palindrome (111010121010111).

The spelling of 110000011010100 in words is "one hundred ten trillion, eleven million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 227 300 454 681 908 1135 1362 2270 2724 3405 4540 4889 5675 6810 9778 11350 13620 14667 17025 19556 22700 24445 29334 34050 48890 58668 68100 73335 97780 122225 146670 244450 293340 330389 366675 488900 660778 733350 991167 1109803 1321556 1466700 1651945 1982334 2219606 3303890 3329409 3964668 4439212 4955835 5549015 6607780 6658818 8259725 9911670 11098030 13317636 16519450 16647045 19823340 22196060 24779175 27745075 33038900 33294090 49558350 55490150 66588180 74998303 83235225 99116700 110980300 149996606 166470450 224994909 299993212 332940900 374991515 449989818 749983030 899979636 1124974545 1499966060 1615271821 1874957575 2249949090 3230543642 3749915150 4499898180 4845815463 5624872725 6461087284 7499830300 8076359105 9691630926 11249745450 16152718210 19383261852 22499490900 24229077315 32305436420 40381795525 48458154630 80763591050 96916309260 121145386575 161527182100 242290773150 366666703367 484581546300 733333406734 1100000110101 1466666813468 1833333516835 2200000220202 3666667033670 4400000440404 5500000550505 7333334067340 9166667584175 11000001101010 18333335168350 22000002202020 27500002752525 36666670336700 55000005505050 110000011010100