Search a number
-
+
22110112122120 = 23335111861120549
BaseRepresentation
bin1010000011011111010010…
…11000010000010100001000
32220021201001201200201122000
411001233221120100110020
510344223002200401440
6115005124552031000
74441255122101031
oct501575130202410
986251051621560
1022110112122120
117054933979a40
122591107992460
13c44c89341249
145661c6b59a88
15285204c07730
hex141be9610508

22110112122120 has 128 divisors (see below), whose sum is σ = 80400407760000. Its totient is φ = 5360027178240.

The previous prime is 22110112122103. The next prime is 22110112122151. The reversal of 22110112122120 is 2122121101122.

22110112122120 is a `hidden beast` number, since 221 + 10 + 11 + 212 + 212 + 0 = 666.

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 = 22110112122093 and 22110112122102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 930548395 + ... + 930572154.

It is an arithmetic number, because the mean of its divisors is an integer number (628128185625).

Almost surely, 222110112122120 is an apocalyptic number.

22110112122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22110112122120 is an abundant number, since it is smaller than the sum of its proper divisors (58290295637880).

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

22110112122120 is a wasteful number, since it uses less digits than its factorization.

22110112122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861120580 (or 1861120570 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 22110112122120 its reverse (2122121101122), we get a palindrome (24232233223242).

The spelling of 22110112122120 in words is "twenty-two trillion, one hundred ten billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3960 5940 11880 1861120549 3722241098 5583361647 7444482196 9305602745 11166723294 14888964392 16750084941 18611205490 20472326039 22333446588 27916808235 33500169882 37222410980 40944652078 44666893176 50250254823 55833616470 61416978117 67000339764 74444821960 81889304156 83750424705 100500509646 102361630195 111667232940 122833956234 134000679528 163778608312 167500849410 184250934351 201001019292 204723260390 223334465880 245667912468 251251274115 307084890585 335001698820 368501868702 402002038584 409446520780 491335824936 502502548230 552752803053 614169781170 670003397640 737003737404 818893041560 921254671755 1005005096460 1105505606106 1228339562340 1474007474808 1842509343510 2010010192920 2211011212212 2456679124680 2763764015265 3685018687020 4422022424424 5527528030530 7370037374040 11055056061060 22110112122120