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10202000012200 = 2352443296938783
BaseRepresentation
bin1001010001110101011010…
…0101100011001110101000
31100010022010220220002021201
42110131112211203032220
52314122144000342300
633410422322213544
72102033033203543
oct224352645431650
940108126802251
1010202000012200
11328370a04aa67
1211892711b42b4
13590076927469
14273acaaad85a
1512a59dc7d66a
hex947569633a8

10202000012200 has 96 divisors (see below), whose sum is σ = 23781813580800. Its totient is φ = 4070111951360.

The previous prime is 10202000012161. The next prime is 10202000012221. The reversal of 10202000012200 is 221000020201.

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

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, 263034009 + ... + 263072791.

It is an arithmetic number, because the mean of its divisors is an integer number (247727224800).

Almost surely, 210202000012200 is an apocalyptic number.

10202000012200 is a gapful number since it is divisible by the number (10) 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 10202000012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11890906790400).

10202000012200 is an abundant number, since it is smaller than the sum of its proper divisors (13579813568600).

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

10202000012200 is a wasteful number, since it uses less digits than its factorization.

10202000012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42211 (or 42202 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10202000012200 its reverse (221000020201), we get a palindrome (10423000032401).

The spelling of 10202000012200 in words is "ten trillion, two hundred two billion, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 443 886 1772 2215 2969 3544 4430 5938 8860 11075 11876 14845 17720 22150 23752 29690 38783 44300 59380 74225 77566 88600 118760 148450 155132 193915 296900 310264 387830 593800 775660 969575 1315267 1551320 1939150 2630534 3878300 5261068 6576335 7756600 10522136 13152670 17180869 26305340 32881675 34361738 52610680 65763350 68723476 85904345 115146727 131526700 137446952 171808690 230293454 263053400 343617380 429521725 460586908 575733635 687234760 859043450 921173816 1151467270 1718086900 2302934540 2878668175 3436173800 4605869080 5757336350 11514672700 23029345400 51010000061 102020000122 204040000244 255050000305 408080000488 510100000610 1020200001220 1275250001525 2040400002440 2550500003050 5101000006100 10202000012200