Search a number
-
+
110320121321130 = 23572175942664981
BaseRepresentation
bin11001000101010111100111…
…101001001001011010101010
3112110121111111221021211102010
4121011113213221021122222
5103424441102024234010
61030344210350420350
732144236310042100
oct3105274751113252
9473544457254363
10110320121321130
113217355649a906
12104589415016b6
1349731b1975036
141d35745509c70
15cb4a2d604620
hex6455e7a496aa

110320121321130 has 96 divisors (see below), whose sum is σ = 308170871585280. Its totient is φ = 25201691706240.

The previous prime is 110320121321107. The next prime is 110320121321147. The reversal of 110320121321130 is 31123121023011.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 110320121321097 and 110320121321106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18746761 + ... + 23918220.

It is an arithmetic number, because the mean of its divisors is an integer number (3210113245680).

Almost surely, 2110320121321130 is an apocalyptic number.

110320121321130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

110320121321130 is an abundant number, since it is smaller than the sum of its proper divisors (197850750264150).

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

110320121321130 is a wasteful number, since it uses less digits than its factorization.

110320121321130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42666764 (or 42666757 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 110320121321130 its reverse (31123121023011), we get a palindrome (141443242344141).

The spelling of 110320121321130 in words is "one hundred ten trillion, three hundred twenty billion, one hundred twenty-one million, three hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1470 1759 3518 5277 8795 10554 12313 17590 24626 26385 36939 52770 61565 73878 86191 123130 172382 184695 258573 369390 430955 517146 861910 1292865 2585730 42664981 85329962 127994943 213324905 255989886 298654867 426649810 597309734 639974715 895964601 1279949430 1493274335 1791929202 2090584069 2986548670 4181168138 4479823005 6271752207 8959646010 10452920345 12543504414 20905840690 31358761035 62717522070 75047701579 150095403158 225143104737 375238507895 450286209474 525333911053 750477015790 1050667822106 1125715523685 1576001733159 2251431047370 2626669555265 3152003466318 3677337377371 5253339110530 7354674754742 7880008665795 11032012132113 15760017331590 18386686886855 22064024264226 36773373773710 55160060660565 110320121321130