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11012222011100 = 22523110199135491
BaseRepresentation
bin1010000000111111101110…
…0101001100011011011100
31102222202110200112011122012
42200033323211030123130
52420411012313323400
635230540035410352
72214415061440622
oct240177345143334
942882420464565
1011012222011100
113566291267832
12129a2aaa539b8
1361b5a957b79b
142a0dcc865512
151416be680d35
hexa03fb94c6dc

11012222011100 has 144 divisors (see below), whose sum is σ = 24937449234432. Its totient is φ = 4216212000000.

The previous prime is 11012222011099. The next prime is 11012222011117. The reversal of 11012222011100 is 111022221011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 310264355 + ... + 310299845.

Almost surely, 211012222011100 is an apocalyptic number.

11012222011100 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 11012222011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12468724617216).

11012222011100 is an abundant number, since it is smaller than the sum of its proper divisors (13925227223332).

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

11012222011100 is a wasteful number, since it uses less digits than its factorization.

11012222011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36628 (or 36621 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11012222011100 its reverse (111022221011), we get a palindrome (11123244232111).

The spelling of 11012222011100 in words is "eleven trillion, twelve billion, two hundred twenty-two million, eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 101 124 155 202 310 404 505 620 775 991 1010 1550 1982 2020 2525 3100 3131 3964 4955 5050 6262 9910 10100 12524 15655 19820 24775 30721 31310 35491 49550 61442 62620 70982 78275 99100 100091 122884 141964 153605 156550 177455 200182 307210 313100 354910 400364 500455 614420 709820 768025 887275 1000910 1100221 1536050 1774550 2001820 2200442 2502275 3072100 3102821 3549100 3584591 4400884 5004550 5501105 6205642 7169182 10009100 11002210 12411284 14338364 15514105 17922955 22004420 27505525 31028210 35171581 35845910 55011050 62056420 70343162 71691820 77570525 89614775 110022100 111122321 140686324 155141050 175857905 179229550 222244642 310282100 351715810 358459100 444489284 555611605 703431620 879289525 1090319011 1111223210 1758579050 2180638022 2222446420 2778058025 3517158100 3552329681 4361276044 5451595055 5556116050 7104659362 10903190110 11112232100 14209318724 17761648405 21806380220 27257975275 35523296810 54515950550 71046593620 88808242025 109031901100 110122220111 177616484050 220244440222 355232968100 440488880444 550611100555 1101222201110 2202444402220 2753055502775 5506111005550 11012222011100