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1000122110130 = 2351113821283957
BaseRepresentation
bin11101000110110111110…
…11000101000010110010
310112121111020012021002110
432203123323011002302
5112341222230011010
62043241051430150
7132153646446153
oct16433373050262
93477436167073
101000122110130
11356170949060
121419b6a55356
1373407681060
143659875192a
151b037337120
hexe8dbec50b2

1000122110130 has 128 divisors (see below), whose sum is σ = 2823369405696. Its totient is φ = 223530163200.

The previous prime is 1000122110093. The next prime is 1000122110179. The reversal of 1000122110130 is 310112210001.

It is a super-4 number, since 4×10001221101304 (a number of 49 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3380112 + ... + 3664068.

It is an arithmetic number, because the mean of its divisors is an integer number (22057573482).

Almost surely, 21000122110130 is an apocalyptic number.

1000122110130 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 1000122110130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411684702848).

1000122110130 is an abundant number, since it is smaller than the sum of its proper divisors (1823247295566).

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

1000122110130 is a wasteful number, since it uses less digits than its factorization.

1000122110130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284812.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 1000122110130 its reverse (310112210001), we get a palindrome (1310234320131).

The spelling of 1000122110130 in words is "one trillion, one hundred twenty-two million, one hundred ten thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 195 286 330 390 429 715 821 858 1430 1642 2145 2463 4105 4290 4926 8210 9031 10673 12315 18062 21346 24630 27093 32019 45155 53365 54186 64038 90310 106730 117403 135465 160095 234806 270930 283957 320190 352209 567914 587015 704418 851871 1174030 1419785 1703742 1761045 2839570 3123527 3522090 3691441 4259355 6247054 7382882 8518710 9370581 11074323 15617635 18457205 18741162 22148646 31235270 36914410 40605851 46852905 55371615 81211702 93705810 110743230 121817553 203029255 233128697 243635106 406058510 466257394 609087765 699386091 1165643485 1218175530 1398772182 2331286970 2564415667 3030673061 3496930455 5128831334 6061346122 6993860910 7693247001 9092019183 12822078335 15153365305 15386494002 18184038366 25644156670 30306730610 33337403671 38466235005 45460095915 66674807342 76932470010 90920191830 100012211013 166687018355 200024422026 333374036710 500061055065 1000122110130