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11002112110212 = 22323313427129819
BaseRepresentation
bin1010000000011010000011…
…1110111110111010000100
31102221210101002221222211120
42200012200332332322010
52420224311200011322
635222144525233540
72213606410626126
oct240064076767204
942853332858746
1011002112110212
113561a73509643
1212983491028b0
1361a657b92102
142a070dc95216
151412cbd14a5c
hexa01a0fbee84

11002112110212 has 96 divisors (see below), whose sum is σ = 26880528568320. Its totient is φ = 3495776444160.

The previous prime is 11002112110211. The next prime is 11002112110291. The reversal of 11002112110212 is 21201121120011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11002112110191 and 11002112110200.

It is not an unprimeable number, because it can be changed into a prime (11002112110211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 368948239 + ... + 368978057.

It is an arithmetic number, because the mean of its divisors is an integer number (280005505920).

Almost surely, 211002112110212 is an apocalyptic number.

11002112110212 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 11002112110212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13440264284160).

11002112110212 is an abundant number, since it is smaller than the sum of its proper divisors (15878416458108).

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

11002112110212 is a wasteful number, since it uses less digits than its factorization.

11002112110212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34433 (or 34431 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11002112110212 its reverse (21201121120011), we get a palindrome (32203233230223).

The spelling of 11002112110212 in words is "eleven trillion, two billion, one hundred twelve million, one hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 313 626 939 1252 1878 3756 4271 7199 8542 12813 14398 17084 21597 25626 28796 29819 43194 51252 59638 86388 89457 98233 119276 178914 196466 294699 357828 392932 589398 685837 1178796 1336823 1371674 2057511 2673646 2743348 4010469 4115022 5347292 8020938 8230044 9333347 16041876 18666694 28000041 30746929 37333388 56000082 61493858 92240787 112000164 122987716 127356949 184481574 214666981 254713898 368963148 382070847 429333962 509427796 644000943 764141694 858667924 1288001886 1528283388 2576003772 2929209827 5858419654 8787629481 11716839308 17575258962 35150517924 39862725037 79725450074 119588175111 159450900148 239176350222 478352700444 916842675851 1833685351702 2750528027553 3667370703404 5501056055106 11002112110212