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1110011101220 = 2257217173385129
BaseRepresentation
bin10000001001110001110…
…100010100000000100100
310221010010120201101212102
4100021301310110000210
5121141300320214340
62205533154111232
7143124052453400
oct20116164240044
93833116641772
101110011101220
1139883136856a
1215b16457b518
138089ab815c8
143ba20cba100
151dd19803215
hex10271d14024

1110011101220 has 144 divisors (see below), whose sum is σ = 2887707821040. Its totient is φ = 356117078016.

The previous prime is 1110011101219. The next prime is 1110011101253. The reversal of 1110011101220 is 221011100111.

It can be written as a sum of positive squares in 8 ways, for example, as 423728091136 + 686283010084 = 650944^2 + 828422^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2689616 + ... + 3074744.

It is an arithmetic number, because the mean of its divisors is an integer number (20053526535).

Almost surely, 21110011101220 is an apocalyptic number.

1110011101220 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 1110011101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443853910520).

1110011101220 is an abundant number, since it is smaller than the sum of its proper divisors (1777696719820).

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

1110011101220 is a wasteful number, since it uses less digits than its factorization.

1110011101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385342 (or 385333 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1110011101220 its reverse (221011100111), we get a palindrome (1331022201331).

The spelling of 1110011101220 in words is "one trillion, one hundred ten billion, eleven million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 173 196 238 245 340 346 476 490 595 692 833 865 980 1190 1211 1666 1730 2380 2422 2941 3332 3460 4165 4844 5882 6055 8330 8477 11764 12110 14705 16660 16954 20587 24220 29410 33908 41174 42385 58820 82348 84770 102935 144109 169540 205870 288218 385129 411740 576436 720545 770258 1441090 1540516 1925645 2695903 2882180 3851290 5391806 6547193 7702580 10783612 13094386 13479515 18871321 26188772 26959030 32735965 37742642 45830351 53918060 65471930 66627317 75485284 91660702 94356605 130943860 133254634 183321404 188713210 229151755 266509268 320812457 333136585 377426420 458303510 466391219 641624914 666273170 916607020 932782438 1132664389 1283249828 1332546340 1604062285 1865564876 2265328778 2331956095 3208124570 3264738533 4530657556 4663912190 5663321945 6416249140 6529477066 7928650723 9327824380 11326643890 13058954132 15857301446 16323692665 22653287780 31714602892 32647385330 39643253615 55500555061 65294770660 79286507230 111001110122 158573014460 222002220244 277502775305 555005550610 1110011101220