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11222100002112 = 2631711532981911
BaseRepresentation
bin1010001101001101100101…
…0010001100010101000000
31110201211012102222210101120
42203103121102030111000
52432330330100031422
635511210033232240
72235525046100346
oct243233122142500
943654172883346
1011222100002112
1136372a198986a
121312b02702680
1363531620994c
142ab21c7c9996
15146da4e1245c
hexa34d948c540

11222100002112 has 112 divisors (see below), whose sum is σ = 31465660240512. Its totient is φ = 3517604167680.

The previous prime is 11222100002107. The next prime is 11222100002189. The reversal of 11222100002112 is 21120000122211.

It is a junction number, because it is equal to n+sod(n) for n = 11222100002091 and 11222100002100.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2272437 + ... + 5254347.

Almost surely, 211222100002112 is an apocalyptic number.

11222100002112 is a gapful number since it is divisible by the number (12) 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 11222100002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15732830120256).

11222100002112 is an abundant number, since it is smaller than the sum of its proper divisors (20243560238400).

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

11222100002112 is a wasteful number, since it uses less digits than its factorization.

11222100002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2983096 (or 2983086 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11222100002112 its reverse (21120000122211), we get a palindrome (32342100124323).

The spelling of 11222100002112 in words is "eleven trillion, two hundred twenty-two billion, one hundred million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1153 1632 2306 3264 3459 4612 6918 9224 13836 18448 19601 27672 36896 39202 55344 58803 73792 78404 110688 117606 156808 221376 235212 313616 470424 627232 940848 1254464 1881696 2981911 3763392 5963822 8945733 11927644 17891466 23855288 35782932 47710576 50692487 71565864 95421152 101384974 143131728 152077461 190842304 202769948 286263456 304154922 405539896 572526912 608309844 811079792 1216619688 1622159584 2433239376 3244319168 3438143383 4866478752 6876286766 9732957504 10314430149 13752573532 20628860298 27505147064 41257720596 55010294128 58448437511 82515441192 110020588256 116896875022 165030882384 175345312533 220041176512 233793750044 330061764768 350690625066 467587500088 660123529536 701381250132 935175000176 1402762500264 1870350000352 2805525000528 3740700000704 5611050001056 11222100002112