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11003202212100 = 22352719275769479
BaseRepresentation
bin1010000000011110000111…
…1101011001000100000100
31102221220012002011220111120
42200013201331121010010
52420234024231241400
635222445030033540
72213645415425550
oct240074175310404
942856162156446
1011003202212100
11356248288329a
1212985b21a88b0
1361a79c988707
142a07b4978860
15141342892ca0
hexa01e1f59104

11003202212100 has 144 divisors (see below), whose sum is σ = 38298865382400. Its totient is φ = 2382648289920.

The previous prime is 11003202212083. The next prime is 11003202212131. The reversal of 11003202212100 is 121220230011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11003202212100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137844840 + ... + 137924639.

Almost surely, 211003202212100 is an apocalyptic number.

11003202212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11003202212100 is an abundant number, since it is smaller than the sum of its proper divisors (27295663170300).

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

11003202212100 is a wasteful number, since it uses less digits than its factorization.

11003202212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275769522 (or 275769515 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11003202212100 its reverse (121220230011), we get a palindrome (11124422442111).

The spelling of 11003202212100 in words is "eleven trillion, three billion, two hundred two million, two hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 25 28 30 35 38 42 50 57 60 70 75 76 84 95 100 105 114 133 140 150 175 190 210 228 266 285 300 350 380 399 420 475 525 532 570 665 700 798 950 1050 1140 1330 1425 1596 1900 1995 2100 2660 2850 3325 3990 5700 6650 7980 9975 13300 19950 39900 275769479 551538958 827308437 1103077916 1378847395 1654616874 1930386353 2757694790 3309233748 3860772706 4136542185 5239620101 5515389580 5791159059 6894236975 7721545412 8273084370 9651931765 10479240202 11582318118 13788473950 15718860303 16546168740 19303863530 20682710925 20958480404 23164636236 26198100505 27576947900 28955795295 31437720606 36677340707 38607727060 41365421850 48259658825 52396201010 57911590590 62875441212 73354681414 78594301515 82730843700 96519317650 104792402020 110032022121 115823181180 130990502525 144778976475 146709362828 157188603030 183386703535 193038635300 220064044242 261981005050 289557952950 314377206060 366773407070 392971507575 440128088484 523962010100 550160110605 579115905900 733546814140 785943015150 916933517675 1100320221210 1571886030300 1833867035350 2200640442420 2750800553025 3667734070700 5501601106050 11003202212100