Search a number
-
+
111202201120 = 25510928322531
BaseRepresentation
bin110011110010000101…
…0101110111000100000
3101122000212120010021111
41213210022232320200
53310220230413440
6123030253033104
711014460053663
oct1474412567040
9348025503244
10111202201120
114318481a65a
1219675485794
13a6425b220a
14554cb276da
152d5c91a4ea
hex19e42aee20

111202201120 has 96 divisors (see below), whose sum is σ = 266074079040. Its totient is φ = 43915115520.

The previous prime is 111202201091. The next prime is 111202201129. The reversal of 111202201120 is 21102202111.

It is a self number, because there is not a number n which added to its sum of digits gives 111202201120.

It is not an unprimeable number, because it can be changed into a prime (111202201129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4924255 + ... + 4946785.

It is an arithmetic number, because the mean of its divisors is an integer number (2771604990).

Almost surely, 2111202201120 is an apocalyptic number.

111202201120 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 111202201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133037039520).

111202201120 is an abundant number, since it is smaller than the sum of its proper divisors (154871877920).

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

111202201120 is a wasteful number, since it uses less digits than its factorization.

111202201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22938 (or 22930 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 111202201120 its reverse (21102202111), we get a palindrome (132304403231).

Subtracting from 111202201120 its reverse (21102202111), we obtain a palindrome (90099999009).

The spelling of 111202201120 in words is "one hundred eleven billion, two hundred two million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 109 160 218 283 436 545 566 872 1090 1132 1415 1744 2180 2264 2830 3488 4360 4528 5660 8720 9056 11320 17440 22531 22640 30847 45062 45280 61694 90124 112655 123388 154235 180248 225310 246776 308470 360496 450620 493552 616940 720992 901240 987104 1233880 1802480 2455879 2467760 3604960 4911758 4935520 6376273 9823516 12279395 12752546 19647032 24558790 25505092 31881365 39294064 49117580 51010184 63762730 78588128 98235160 102020368 127525460 196470320 204040736 255050920 392940640 510101840 695013757 1020203680 1390027514 2780055028 3475068785 5560110056 6950137570 11120220112 13900275140 22240440224 27800550280 55601100560 111202201120