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1110000101120 = 2854367729789
BaseRepresentation
bin10000001001110001001…
…010010110011100000000
310221010002211000112120022
4100021301022112130000
5121141240011213440
62205532122233012
7143123560120211
oct20116112263400
93833084015508
101110000101120
11398826134a79
1215b160955768
13808987cc781
143ba1d655408
151dd1887dcb5
hex10271296700

1110000101120 has 144 divisors (see below), whose sum is σ = 2724739728480. Its totient is φ = 433019338752.

The previous prime is 1110000101113. The next prime is 1110000101131. The reversal of 1110000101120 is 211010000111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 1110000101098 and 1110000101107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37247186 + ... + 37276974.

It is an arithmetic number, because the mean of its divisors is an integer number (18921803670).

Almost surely, 21110000101120 is an apocalyptic number.

1110000101120 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 1110000101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362369864240).

1110000101120 is an abundant number, since it is smaller than the sum of its proper divisors (1614739627360).

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

1110000101120 is an equidigital number, since it uses as much as digits as its factorization.

1110000101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30530 (or 30516 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1110000101120 its reverse (211010000111), we get a palindrome (1321010101231).

The spelling of 1110000101120 in words is "one trillion, one hundred ten billion, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 160 172 215 256 320 344 430 640 677 688 860 1280 1354 1376 1720 2708 2752 3385 3440 5416 5504 6770 6880 10832 11008 13540 13760 21664 27080 27520 29111 29789 43328 54160 55040 58222 59578 86656 108320 116444 119156 145555 148945 173312 216640 232888 238312 291110 297890 433280 465776 476624 582220 595780 866560 931552 953248 1164440 1191560 1280927 1863104 1906496 2328880 2383120 2561854 3726208 3812992 4657760 4766240 5123708 6404635 7452416 7625984 9315520 9532480 10247416 12809270 18631040 19064960 20167153 20494832 25618540 37262080 38129920 40334306 40989664 51237080 80668612 81979328 100835765 102474160 161337224 163958656 201671530 204948320 322674448 327917312 403343060 409896640 645348896 806686120 819793280 867187579 1290697792 1613372240 1639586560 1734375158 2581395584 3226744480 3468750316 4335937895 5162791168 6453488960 6937500632 8671875790 12906977920 13875001264 17343751580 25813955840 27750002528 34687503160 55500005056 69375006320 111000010112 138750012640 222000020224 277500025280 555000050560 1110000101120