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110011320220120 = 235114631289418939
BaseRepresentation
bin11001000000111000000001…
…101010011011100111011000
3112102111222110001112112202221
4121000320001222123213120
5103404411140434020440
61025550300335233424
732113025033016004
oct3100700152334730
9472458401475687
10110011320220120
11320645a2303110
1210408b20678874
13495003b656267
141d2480d569704
15cab9a8456d4a
hex640e01a9b9d8

110011320220120 has 128 divisors (see below), whose sum is σ = 270821584512000. Its totient is φ = 39886651284480.

The previous prime is 110011320220093. The next prime is 110011320220133. The reversal of 110011320220120 is 21022023110011.

It is a junction number, because it is equal to n+sod(n) for n = 110011320220094 and 110011320220103.

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, 262385611 + ... + 262804549.

It is an arithmetic number, because the mean of its divisors is an integer number (2115793629000).

Almost surely, 2110011320220120 is an apocalyptic number.

110011320220120 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 110011320220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135410792256000).

110011320220120 is an abundant number, since it is smaller than the sum of its proper divisors (160810264291880).

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

110011320220120 is a wasteful number, since it uses less digits than its factorization.

110011320220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420713 (or 420709 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 110011320220120 its reverse (21022023110011), we get a palindrome (131033343330131).

The spelling of 110011320220120 in words is "one hundred ten trillion, eleven billion, three hundred twenty million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 463 926 1289 1852 2315 2578 3704 4630 5093 5156 6445 9260 10186 10312 12890 14179 18520 20372 25465 25780 28358 40744 50930 51560 56716 70895 101860 113432 141790 203720 283580 418939 567160 596807 837878 1193614 1675756 2094695 2387228 2984035 3351512 4189390 4608329 4774456 5968070 6564877 8378780 9216658 11936140 13129754 16757560 18433316 23041645 23872280 26259508 32824385 36866632 46083290 52519016 65648770 92166580 131297540 184333160 193968757 262595080 387937514 540012371 775875028 969843785 1080024742 1551750056 1939687570 2133656327 2160049484 2700061855 3879375140 4267312654 4320098968 5400123710 5940136081 7758750280 8534625308 10668281635 10800247420 11880272162 17069250616 21336563270 21600494840 23760544324 29700680405 42673126540 47521088648 59401360810 85346253080 118802721620 237605443240 250025727773 500051455546 1000102911092 1250128638865 2000205822184 2500257277730 2750283005503 5000514555460 5500566011006 10001029110920 11001132022012 13751415027515 22002264044024 27502830055030 55005660110060 110011320220120