Search a number
-
+
1123123320 = 233451131513
BaseRepresentation
bin100001011110001…
…1000000001111000
32220021100120120000
41002330120001320
54300004421240
6303240233000
736555251004
oct10274300170
92807316500
101123123320
11526a791a0
1227416b760
1314b8b8917
14a923b704
1568902430
hex42f18078

1123123320 has 160 divisors (see below), whose sum is σ = 4118249520. Its totient is φ = 272263680.

The previous prime is 1123123289. The next prime is 1123123387. The reversal of 1123123320 is 233213211.

It is a super-2 number, since 2×11231233202 = 2522811983855644800, which 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 = 1123123293 and 1123123302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19884 + ... + 51396.

Almost surely, 21123123320 is an apocalyptic number.

1123123320 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 1123123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059124760).

1123123320 is an abundant number, since it is smaller than the sum of its proper divisors (2995126200).

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

1123123320 is a wasteful number, since it uses less digits than its factorization.

1123123320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31547 (or 31534 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1123123320 is about 33513.0320920086. The cubic root of 1123123320 is about 1039.4632708798.

Adding to 1123123320 its reverse (233213211), we get a palindrome (1356336531).

The spelling of 1123123320 in words is "one billion, one hundred twenty-three million, one hundred twenty-three thousand, three 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 81 88 90 99 108 110 120 132 135 162 165 180 198 216 220 264 270 297 324 330 360 396 405 440 495 540 594 648 660 792 810 891 990 1080 1188 1320 1485 1620 1782 1980 2376 2970 3240 3564 3960 4455 5940 7128 8910 11880 17820 31513 35640 63026 94539 126052 157565 189078 252104 283617 315130 346643 378156 472695 567234 630260 693286 756312 850851 945390 1039929 1134468 1260520 1386572 1418085 1701702 1733215 1890780 2079858 2268936 2552553 2773144 2836170 3119787 3403404 3466430 3781560 4159716 4254255 5105106 5199645 5672340 6239574 6806808 6932860 8319432 8508510 9359361 10210212 10399290 11344680 12479148 12762765 13865720 15598935 17017020 18718722 20420424 20798580 24958296 25525530 28078083 31197870 34034040 37437444 41597160 46796805 51051060 56156166 62395740 74874888 93593610 102102120 112312332 124791480 140390415 187187220 224624664 280780830 374374440 561561660 1123123320