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200120110120 = 23572493720681
BaseRepresentation
bin1011101001100000010…
…1101000110000101000
3201010112201021220121101
42322120011220300220
511234321222010440
6231533420251144
720313106604200
oct2723005506050
9633481256541
10200120110120
1177963648767
123294b9a0ab4
1315b43184258
149986029400
155313c9c69a
hex2e98168c28

200120110120 has 96 divisors (see below), whose sum is σ = 523915183080. Its totient is φ = 68595394560.

The previous prime is 200120110097. The next prime is 200120110139. The reversal of 200120110120 is 21011021002.

It can be written as a sum of positive squares in 4 ways, for example, as 109914793156 + 90205316964 = 331534^2 + 300342^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 200120110097 and 200120110106.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9666180 + ... + 9686860.

Almost surely, 2200120110120 is an apocalyptic number.

200120110120 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 200120110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261957591540).

200120110120 is an abundant number, since it is smaller than the sum of its proper divisors (323795072960).

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

200120110120 is a wasteful number, since it uses less digits than its factorization.

200120110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25643 (or 25632 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 200120110120 its reverse (21011021002), we get a palindrome (221131131122).

The spelling of 200120110120 in words is "two hundred billion, one hundred twenty million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 4937 9874 19748 20681 24685 34559 39496 41362 49370 69118 82724 98740 103405 138236 144767 165448 172795 197480 206810 241913 276472 289534 345590 413620 483826 579068 691180 723835 827240 967652 1013369 1158136 1209565 1382360 1447670 1935304 2026738 2419130 2895340 4053476 4838260 5066845 5790680 8106952 9676520 10133690 20267380 40534760 102102097 204204194 408408388 510510485 714714679 816816776 1021020970 1429429358 2042041940 2858858716 3573573395 4084083880 5003002753 5717717432 7147146790 10006005506 14294293580 20012011012 25015013765 28588587160 40024022024 50030027530 100060055060 200120110120