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11221011220020 = 22357229131609327
BaseRepresentation
bin1010001101001001100001…
…1000110100011000110100
31110201201101120020221010220
42203102120120310120310
52432321112333020040
635510510021014340
72235456055435500
oct243223030643064
943651346227126
1011221011220020
113636893336758
121312859b543b0
136351a1785ca4
142ab157d6b300
15146d3e5452d0
hexa3498634634

11221011220020 has 144 divisors (see below), whose sum is σ = 37808727747840. Its totient is φ = 2476361078016.

The previous prime is 11221011219997. The next prime is 11221011220039. The reversal of 11221011220020 is 2002211012211.

It is a super-2 number, since 2×112210112200202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 65719404 + ... + 65889923.

It is an arithmetic number, because the mean of its divisors is an integer number (262560609360).

Almost surely, 211221011220020 is an apocalyptic number.

11221011220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11221011220020 is an abundant number, since it is smaller than the sum of its proper divisors (26587716527820).

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

11221011220020 is a wasteful number, since it uses less digits than its factorization.

11221011220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131609382 (or 131609373 counting only the distinct ones).

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

Adding to 11221011220020 its reverse (2002211012211), we get a palindrome (13223222232231).

The spelling of 11221011220020 in words is "eleven trillion, two hundred twenty-one billion, eleven million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 29 30 35 42 49 58 60 70 84 87 98 105 116 140 145 147 174 196 203 210 245 290 294 348 406 420 435 490 580 588 609 735 812 870 980 1015 1218 1421 1470 1740 2030 2436 2842 2940 3045 4060 4263 5684 6090 7105 8526 12180 14210 17052 21315 28420 42630 85260 131609327 263218654 394827981 526437308 658046635 789655962 921265289 1316093270 1579311924 1842530578 1974139905 2632186540 2763795867 3685061156 3816670483 3948279810 4606326445 5527591734 6448857023 7633340966 7896559620 9212652890 11055183468 11450011449 12897714046 13818979335 15266681932 18425305780 19083352415 19346571069 22900022898 25795428092 26716693381 27637958670 32244285115 38166704830 38693142138 45800045796 53433386762 55275917340 57250057245 64488570230 76333409660 77386284276 80150080143 96732855345 106866773524 114500114490 128977140460 133583466905 160300160286 187016853667 193465710690 229000228980 267166933810 320600320572 374033707334 386931421380 400750400715 534333867620 561050561001 748067414668 801500801430 935084268335 1122101122002 1603001602860 1870168536670 2244202244004 2805252805005 3740337073340 5610505610010 11221011220020