Search a number
-
+
11120220122220 = 22325116783824967
BaseRepresentation
bin1010000111010010000011…
…0001010010110001101100
31110101002020021000122201200
42201310200301102301230
52424143202322402340
635352320354005500
72225260264311426
oct241644061226154
943332207018650
1011120220122220
1135a80713a0120
1212b720b276890
1362882b0bc651
142a6315c1b816
151443e0b41330
hexa1d20c52c6c

11120220122220 has 144 divisors (see below), whose sum is σ = 37347040942848. Its totient is φ = 2655574922880.

The previous prime is 11120220122201. The next prime is 11120220122237. The reversal of 11120220122220 is 2222102202111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11120220122193 and 11120220122202.

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, 41779824 + ... + 42045143.

It is an arithmetic number, because the mean of its divisors is an integer number (259354450992).

Almost surely, 211120220122220 is an apocalyptic number.

11120220122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11120220122220 is an abundant number, since it is smaller than the sum of its proper divisors (26226820820628).

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

11120220122220 is a wasteful number, since it uses less digits than its factorization.

11120220122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83825060 (or 83825055 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11120220122220 its reverse (2222102202111), we get a palindrome (13342322324331).

The spelling of 11120220122220 in words is "eleven trillion, one hundred twenty billion, two hundred twenty million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 67 90 99 110 132 134 165 180 198 201 220 268 330 335 396 402 495 603 660 670 737 804 990 1005 1206 1340 1474 1980 2010 2211 2412 2948 3015 3685 4020 4422 6030 6633 7370 8844 11055 12060 13266 14740 22110 26532 33165 44220 66330 132660 83824967 167649934 251474901 335299868 419124835 502949802 754424703 838249670 922074637 1005899604 1257374505 1508849406 1676499340 1844149274 2514749010 2766223911 3017698812 3688298548 3772123515 4610373185 5029498020 5532447822 5616272789 7544247030 8298671733 9220746370 11064895644 11232545578 13831119555 15088494060 16597343466 16848818367 18441492740 22465091156 27662239110 28081363945 33194686932 33697636734 41493358665 50546455101 55324478220 56162727890 61779000679 67395273468 82986717330 84244091835 101092910202 112325455780 123558001358 165973434660 168488183670 185337002037 202185820404 247116002716 252732275505 308895003395 336976367340 370674004074 505464551010 556011006111 617790006790 741348008148 926685010185 1010929102020 1112022012222 1235580013580 1853370020370 2224044024444 2780055030555 3706740040740 5560110061110 11120220122220