Search a number
-
+
111242340330 = 235112919160859
BaseRepresentation
bin110011110011010001…
…1110110011111101010
3101122010200002101220220
41213212203312133222
53310311014342310
6123034245230510
711015455201632
oct1474643663752
9348120071826
10111242340330
11431a5445860
1219686a02436
13a64a9c7224
1455541b56c2
152d611e8670
hex19e68f67ea

111242340330 has 128 divisors (see below), whose sum is σ = 302878310400. Its totient is φ = 25901164800.

The previous prime is 111242340271. The next prime is 111242340427. The reversal of 111242340330 is 33043242111.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 111242340330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1797441 + ... + 1858299.

It is an arithmetic number, because the mean of its divisors is an integer number (2366236800).

Almost surely, 2111242340330 is an apocalyptic number.

111242340330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 111242340330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151439155200).

111242340330 is an abundant number, since it is smaller than the sum of its proper divisors (191635970070).

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

111242340330 is a wasteful number, since it uses less digits than its factorization.

111242340330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61100.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 111242340330 its reverse (33043242111), we get a palindrome (144285582441).

The spelling of 111242340330 in words is "one hundred eleven billion, two hundred forty-two million, three hundred forty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 145 165 174 191 290 319 330 382 435 573 638 870 955 957 1146 1595 1910 1914 2101 2865 3190 4202 4785 5539 5730 6303 9570 10505 11078 12606 16617 21010 27695 31515 33234 55390 60859 60929 63030 83085 121718 121858 166170 182577 182787 304295 304645 365154 365574 608590 609290 669449 912885 913935 1338898 1764911 1825770 1827870 2008347 3347245 3529822 4016694 5294733 6694490 8824555 10041735 10589466 11624069 17649110 19414021 20083470 23248138 26473665 34872207 38828042 52947330 58120345 58242063 69744414 97070105 116240690 116484126 127864759 174361035 194140210 255729518 291210315 337098001 348722070 383594277 582420630 639323795 674196002 767188554 1011294003 1278647590 1685490005 1917971385 2022588006 3370980010 3708078011 3835942770 5056470015 7416156022 10112940030 11124234033 18540390055 22248468066 37080780110 55621170165 111242340330