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11011012222212 = 223229311039932717
BaseRepresentation
bin1010000000111011001101…
…1110001101110100000100
31102222122100101002112021100
42200032303132031310010
52420401023112102322
635230220021420100
72214343101422412
oct240166336156404
942878311075240
1011011012222212
113565820385502
12129a01186a630
1361b445a3a882
142a0d15d082b2
1514164d35edac
hexa03b378dd04

11011012222212 has 144 divisors (see below), whose sum is σ = 29725742592000. Its totient is φ = 3429024157440.

The previous prime is 11011012222211. The next prime is 11011012222247. The reversal of 11011012222212 is 21222221011011.

11011012222212 is a `hidden beast` number, since 110 + 110 + 1 + 222 + 221 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11011012222211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 336536878 + ... + 336569594.

It is an arithmetic number, because the mean of its divisors is an integer number (206428768000).

Almost surely, 211011012222212 is an apocalyptic number.

11011012222212 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 11011012222212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14862871296000).

11011012222212 is an abundant number, since it is smaller than the sum of its proper divisors (18714730369788).

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

11011012222212 is a wasteful number, since it uses less digits than its factorization.

11011012222212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43186 (or 43181 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11011012222212 its reverse (21222221011011), we get a palindrome (32233233233223).

The spelling of 11011012222212 in words is "eleven trillion, eleven billion, twelve million, two hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 29 31 36 58 62 87 93 116 124 174 186 261 279 348 372 522 558 899 1044 1116 1798 2697 3596 5394 8091 10399 10788 16182 20798 31197 32364 32717 41596 62394 65434 93591 98151 124788 130868 187182 196302 294453 301571 322369 374364 392604 588906 603142 644738 904713 948793 967107 1014227 1177812 1206284 1289476 1809426 1897586 1934214 2028454 2714139 2846379 2901321 3042681 3618852 3795172 3868428 4056908 5428278 5692758 5802642 6085362 8539137 9128043 9348701 10856556 11385516 11605284 12170724 17078274 18256086 18697402 28046103 29412583 34156548 36512172 37394804 56092206 58825166 84138309 88237749 112184412 117650332 168276618 176475498 264713247 336553236 340224083 352950996 529426494 680448166 1020672249 1058852988 1360896332 2041344498 3062016747 4082688996 6124033494 9866498407 10546946573 12248066988 19732996814 21093893146 29599495221 31640839719 39465993628 42187786292 59198990442 63281679438 88798485663 94922519157 118397980884 126563358876 177596971326 189845038314 305861450617 355193942652 379690076628 611722901234 917584351851 1223445802468 1835168703702 2752753055553 3670337407404 5505506111106 11011012222212