Search a number
-
+
111023000331120 = 24325179070506563
BaseRepresentation
bin11001001111100110001110…
…011111110010001101110000
3112120002200202210011002101200
4121033212032133302031300
5104023000101041043440
61032043132351131200
732246101306044543
oct3117461637621560
9476080683132350
10111023000331120
11324146543612a9
1210551002213b00
1349c4568713a87
141d5b782d2085a
15cc7e6a301c30
hex64f98e7f2370

111023000331120 has 120 divisors (see below), whose sum is σ = 394784727691536. Its totient is φ = 27864596158464.

The previous prime is 111023000331097. The next prime is 111023000331163. The reversal of 111023000331120 is 21133000320111.

111023000331120 is a `hidden beast` number, since 1 + 1 + 10 + 2 + 300 + 0 + 331 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1110230003311202 (a number of 29 digits) contains 22 as substring.

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 = 111023000331093 and 111023000331102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4535241042 + ... + 4535265521.

Almost surely, 2111023000331120 is an apocalyptic number.

111023000331120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111023000331120 is an abundant number, since it is smaller than the sum of its proper divisors (283761727360416).

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

111023000331120 is a wasteful number, since it uses less digits than its factorization.

111023000331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9070506599 (or 9070506590 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 111023000331120 its reverse (21133000320111), we get a palindrome (132156000651231).

The spelling of 111023000331120 in words is "one hundred eleven trillion, twenty-three billion, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 4080 6120 12240 9070506563 18141013126 27211519689 36282026252 45352532815 54423039378 72564052504 81634559067 90705065630 108846078756 136057598445 145128105008 154198611571 163269118134 181410131260 217692157512 272115196890 308397223142 326538236268 362820262520 408172795335 435384315024 462595834713 544230393780 616794446284 653076472536 725640525040 770993057855 816345590670 925191669426 1088460787560 1233588892568 1306152945072 1387787504139 1541986115710 1632691181340 1850383338852 2176921575120 2312979173565 2467177785136 2775575008278 3083972231420 3265382362680 3700766677704 4625958347130 5551150016556 6167944462840 6530764725360 6938937520695 7401533355408 9251916694260 11102300033112 12335888925680 13877875041390 18503833388520 22204600066224 27755750082780 37007666777040 55511500165560 111023000331120