Search a number
-
+
1143110120 = 2352331149269
BaseRepresentation
bin100010000100010…
…0111100111101000
32221122222000021212
41010020213213220
54320114010440
6305232452252
740220163365
oct10410474750
92848860255
101143110120
1153728a609
1227a9aa088
13152a96029
14abb6146c
156a54e465
hex442279e8

1143110120 has 128 divisors (see below), whose sum is σ = 2799360000. Its totient is φ = 418851840.

The previous prime is 1143110119. The next prime is 1143110123. The reversal of 1143110120 is 210113411.

It is a junction number, because it is equal to n+sod(n) for n = 1143110095 and 1143110104.

It is not an unprimeable number, because it can be changed into a prime (1143110123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4249346 + ... + 4249614.

It is an arithmetic number, because the mean of its divisors is an integer number (21870000).

Almost surely, 21143110120 is an apocalyptic number.

1143110120 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 1143110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399680000).

1143110120 is an abundant number, since it is smaller than the sum of its proper divisors (1656249880).

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

1143110120 is a wasteful number, since it uses less digits than its factorization.

1143110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 1143110120 is about 33809.9115645102. The cubic root of 1143110120 is about 1045.5930548500.

Adding to 1143110120 its reverse (210113411), we get a palindrome (1353223531).

The spelling of 1143110120 in words is "one billion, one hundred forty-three million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 31 40 46 62 92 115 124 149 155 184 230 248 269 298 310 460 538 596 620 713 745 920 1076 1192 1240 1345 1426 1490 2152 2690 2852 2980 3427 3565 4619 5380 5704 5960 6187 6854 7130 8339 9238 10760 12374 13708 14260 16678 17135 18476 23095 24748 27416 28520 30935 33356 34270 36952 40081 41695 46190 49496 61870 66712 68540 80162 83390 92380 106237 123740 137080 160324 166780 184760 191797 200405 212474 247480 320648 333560 383594 400810 424948 531185 767188 801620 849896 921863 958985 1062370 1242511 1534376 1603240 1843726 1917970 2124740 2485022 3687452 3835940 4249480 4609315 4970044 6212555 7374904 7671880 9218630 9940088 12425110 18437260 24850220 28577753 36874520 49700440 57155506 114311012 142888765 228622024 285777530 571555060 1143110120