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1111011101220 = 223537219768659
BaseRepresentation
bin10000001010101101011…
…011000000101000100100
310221012201021101122222110
4100022231123000220210
5121200322320214340
62210220315401020
7143160614354316
oct20125533005044
93835637348873
101111011101220
113991a4891349
1215b3a3453170
13809ca0bb797
143bab7a277b6
151dd774d4680
hex102ad6c0a24

1111011101220 has 144 divisors (see below), whose sum is σ = 3213456079680. Its totient is φ = 286794902016.

The previous prime is 1111011101143. The next prime is 1111011101311. The reversal of 1111011101220 is 221011101111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1111011101196 and 1111011101205.

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, 16147251 + ... + 16215909.

It is an arithmetic number, because the mean of its divisors is an integer number (22315667220).

Almost surely, 21111011101220 is an apocalyptic number.

1111011101220 is a gapful number since it is divisible by the number (10) 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 1111011101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606728039840).

1111011101220 is an abundant number, since it is smaller than the sum of its proper divisors (2102444978460).

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

1111011101220 is a wasteful number, since it uses less digits than its factorization.

1111011101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68942 (or 68903 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1111011101220 its reverse (221011101111), we get a palindrome (1332022202331).

The spelling of 1111011101220 in words is "one trillion, one hundred eleven billion, eleven million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 197 222 370 394 444 555 591 740 788 985 1110 1182 1369 1970 2220 2364 2738 2955 3940 4107 5476 5910 6845 7289 8214 11820 13690 14578 16428 20535 21867 27380 29156 36445 41070 43734 68659 72890 82140 87468 109335 137318 145780 205977 218670 269693 274636 343295 411954 437340 539386 686590 809079 823908 1029885 1078772 1348465 1373180 1618158 2059770 2540383 2696930 3236316 4045395 4119540 5080766 5393860 7621149 8090790 10161532 12701915 13525823 15242298 16181580 25403830 27051646 30484596 38105745 40577469 50807660 54103292 67629115 76211490 81154938 93994171 135258230 152422980 162309876 187988342 202887345 270516460 281982513 375976684 405774690 469970855 500455451 563965026 811549380 939941710 1000910902 1127930052 1409912565 1501366353 1879883420 2001821804 2502277255 2819825130 3002732706 5004554510 5639650260 6005465412 7506831765 10009109020 15013663530 18516851687 30027327060 37033703374 55550555061 74067406748 92584258435 111101110122 185168516870 222202220244 277752775305 370337033740 555505550610 1111011101220