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11022112222212 = 22371321250362099
BaseRepresentation
bin1010000001100100100100…
…0101010110110000000100
31110000200222221200221201110
42200121021011112300010
52421041241212102322
635235253301125020
72215215134030430
oct240311105266004
943020887627643
1011022112222212
11356a4a7004823
1212a01ab0b9770
1361c4c45a8a00
142a168a1a99c0
15141a9caa3c0c
hexa0649156c04

11022112222212 has 144 divisors (see below), whose sum is σ = 31830222412800. Its totient is φ = 2906651389824.

The previous prime is 11022112222207. The next prime is 11022112222249. The reversal of 11022112222212 is 21222221122011.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177461539 + ... + 177523637.

It is an arithmetic number, because the mean of its divisors is an integer number (221043211200).

Almost surely, 211022112222212 is an apocalyptic number.

11022112222212 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 11022112222212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15915111206400).

11022112222212 is an abundant number, since it is smaller than the sum of its proper divisors (20808110190588).

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

11022112222212 is a wasteful number, since it uses less digits than its factorization.

11022112222212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74642 (or 74627 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 11022112222212 its reverse (21222221122011), we get a palindrome (32244333344223).

The spelling of 11022112222212 in words is "eleven trillion, twenty-two billion, one hundred twelve million, two hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 169 182 273 338 364 507 546 676 1014 1092 1183 2028 2366 3549 4732 7098 12503 14196 25006 37509 50012 62099 75018 87521 124198 150036 162539 175042 186297 248396 262563 325078 350084 372594 434693 487617 525126 650156 745188 807287 869386 975234 1050252 1137773 1304079 1614574 1738772 1950468 2113007 2275546 2421861 2608158 3229148 3413319 4226014 4551092 4843722 5216316 5651009 6339021 6826638 8452028 9687444 10494731 11302018 12678042 13653276 14791049 16953027 20989462 22604036 25356084 29582098 31484193 33906054 41978924 44373147 59164196 62968386 67812108 73463117 88746294 125936772 146926234 177492588 220389351 293852468 440778702 776423797 881557404 1552847594 2329271391 3105695188 4658542782 5434966579 9317085564 10093509361 10869933158 16304899737 20187018722 21739866316 30280528083 32609799474 40374037444 60561056166 65219598948 70654565527 121122112332 131215621693 141309131054 211963696581 262431243386 282618262108 393646865079 423927393162 524862486772 787293730158 847854786324 918509351851 1574587460316 1837018703702 2755528055553 3674037407404 5511056111106 11022112222212