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11222020102212 = 223589190168239
BaseRepresentation
bin1010001101001101010010…
…0001011001100001000100
31110201210222212122110100000
42203103110201121201010
52432330144121232322
635511154100521300
72235523056002133
oct243232441314104
943653885573300
1011222020102212
113637260876897
121312a9b9b0230
136353027b2cba
142ab211d4b91a
15146d9cdcd3ac
hexa34d4859844

11222020102212 has 144 divisors (see below), whose sum is σ = 29764011513600. Its totient is φ = 3696643526400.

The previous prime is 11222020102099. The next prime is 11222020102213. The reversal of 11222020102212 is 21220102022211.

It is a happy number.

11222020102212 is a `hidden beast` number, since 112 + 220 + 20 + 102 + 212 = 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 (11222020102213) by changing a digit.

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, 164417589 + ... + 164485827.

It is an arithmetic number, because the mean of its divisors is an integer number (206694524400).

Almost surely, 211222020102212 is an apocalyptic number.

11222020102212 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 11222020102212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14882005756800).

11222020102212 is an abundant number, since it is smaller than the sum of its proper divisors (18541991411388).

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

11222020102212 is a wasteful number, since it uses less digits than its factorization.

11222020102212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70248 (or 70234 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11222020102212 its reverse (21220102022211), we get a palindrome (32442122124423).

The spelling of 11222020102212 in words is "eleven trillion, two hundred twenty-two billion, twenty million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 89 108 162 178 243 267 324 356 486 534 801 972 1068 1602 1901 2403 3204 3802 4806 5703 7209 7604 9612 11406 14418 17109 21627 22812 28836 34218 43254 51327 68239 68436 86508 102654 136478 153981 169189 204717 205308 272956 307962 338378 409434 461943 507567 614151 615924 676756 818868 923886 1015134 1228302 1522701 1842453 1847772 2030268 2456604 3045402 3684906 4568103 5527359 6073271 6090804 7369812 9136206 11054718 12146542 13704309 16582077 18219813 18272412 22109436 24293084 27408618 33164154 36439626 41112927 54659439 54817236 66328308 72879252 82225854 109318878 129722339 163978317 164451708 218637756 259444678 327956634 389167017 491934951 518889356 655913268 778334034 983869902 1167501051 1475804853 1556668068 1967739804 2335002102 2951609706 3502503153 4670004204 5903219412 7005006306 10507509459 11545288171 14010012612 21015018918 23090576342 31522528377 34635864513 42030037836 46181152684 63045056754 69271729026 103907593539 126090113508 138543458052 207815187078 311722780617 415630374156 623445561234 935168341851 1246891122468 1870336683702 2805505025553 3740673367404 5611010051106 11222020102212