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1022110011120 = 2435111693722859
BaseRepresentation
bin11101101111110101000…
…00010000111011110000
310121201020121022100211210
432313322200100323300
5113221240130323440
62101314552440120
7133562560513602
oct16677240207360
93551217270753
101022110011120
11364524500560
121461126a9040
13754ccb57c63
1437682a63172
151b8c2875a80
hexedfa810ef0

1022110011120 has 160 divisors (see below), whose sum is σ = 3456945527040. Its totient is φ = 247758776320.

The previous prime is 1022110011119. The next prime is 1022110011179. The reversal of 1022110011120 is 211100112201.

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 = 1022110011096 and 1022110011105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44702251 + ... + 44725109.

It is an arithmetic number, because the mean of its divisors is an integer number (21605909544).

Almost surely, 21022110011120 is an apocalyptic number.

1022110011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022110011120 is an abundant number, since it is smaller than the sum of its proper divisors (2434835515920).

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

1022110011120 is a wasteful number, since it uses less digits than its factorization.

1022110011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39823 (or 39817 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1022110011120 its reverse (211100112201), we get a palindrome (1233210123321).

The spelling of 1022110011120 in words is "one trillion, twenty-two billion, one hundred ten million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 16937 22859 33874 45718 50811 67748 68577 84685 91436 101622 114295 135496 137154 169370 182872 186307 203244 228590 251449 254055 270992 274308 338740 342885 365744 372614 406488 457180 502898 508110 548616 558921 677480 685770 745228 754347 812976 914360 931535 1005796 1016220 1097232 1117842 1257245 1354960 1371540 1490456 1508694 1828720 1863070 2011592 2032440 2235684 2514490 2743080 2794605 2980912 3017388 3726140 3771735 4023184 4064880 4471368 5028980 5486160 5589210 6034776 7452280 7543470 8942736 10057960 11178420 12069552 14904560 15086940 20115920 22356840 30173880 44713680 60347760 387162883 774325766 1161488649 1548651532 1935814415 2322977298 3097303064 3871628830 4258791713 4645954596 5807443245 6194606128 7743257660 8517583426 9291909192 11614886490 12776375139 15486515320 17035166852 18583818384 21293958565 23229772980 25552750278 30973030640 34070333704 42587917130 46459545960 51105500556 63881875695 68140667408 85175834260 92919091920 102211001112 127763751390 170351668520 204422002224 255527502780 340703337040 511055005560 1022110011120