Search a number
-
+
2200020110120 = 235789630114011
BaseRepresentation
bin100000000000111011011…
…010101100101100101000
321210022122011222020100202
4200000323122230230220
5242021120122010440
64402401510051332
7314642356250120
oct40007332545450
97708564866322
102200020110120
11779028aa8018
122b6466349b48
1312c5cbaa4b11
14786a54c7c80
153c3630c5615
hex2003b6acb28

2200020110120 has 128 divisors (see below), whose sum is σ = 5722074835200. Its totient is φ = 745645824000.

The previous prime is 2200020110069. The next prime is 2200020110131. The reversal of 2200020110120 is 210110200022.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 157013915 + ... + 157027925.

It is an arithmetic number, because the mean of its divisors is an integer number (44703709650).

Almost surely, 22200020110120 is an apocalyptic number.

2200020110120 is a gapful number since it is divisible by the number (20) 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 2200020110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2861037417600).

2200020110120 is an abundant number, since it is smaller than the sum of its proper divisors (3522054725080).

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

2200020110120 is a wasteful number, since it uses less digits than its factorization.

2200020110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20419 (or 20415 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2200020110120 its reverse (210110200022), we get a palindrome (2410130310142).

The spelling of 2200020110120 in words is "two trillion, two hundred billion, twenty million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 89 140 178 280 356 445 623 712 890 1246 1780 2492 3115 3560 4984 6230 6301 12460 12602 14011 24920 25204 28022 31505 44107 50408 56044 63010 70055 88214 98077 112088 126020 140110 176428 196154 220535 252040 280220 352856 392308 441070 490385 560440 560789 784616 882140 980770 1121578 1246979 1764280 1961540 2243156 2493958 2803945 3923080 3925523 4486312 4987916 5607890 6234895 7851046 8728853 9975832 11215780 12469790 15702092 17457706 19627615 22431560 24939580 31404184 34915412 39255230 43644265 49879160 69830824 78510460 87288530 88283311 157020920 174577060 176566622 349154120 353133244 441416555 617983177 706266488 882833110 1235966354 1765666220 2471932708 3089915885 3531332440 4943865416 6179831770 7857214679 12359663540 15714429358 24719327080 31428858716 39286073395 55000502753 62857717432 78572146790 110001005506 157144293580 220002011012 275002513765 314288587160 440004022024 550005027530 1100010055060 2200020110120