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2102202212200 = 235211393017797
BaseRepresentation
bin11110100101110101000…
…001000001111101101000
321102222011002100011102121
4132211311001001331220
5233420302231242300
64245423253041024
7304610346655216
oct36456501017550
97388132304377
102102202212200
117405a2387572
1229b507326174
1312331039b34c
1473a661a5cb6
1539a3a71e81a
hex1e975041f68

2102202212200 has 48 divisors (see below), whose sum is σ = 4930873471980. Its totient is φ = 833439452160.

The previous prime is 2102202212191. The next prime is 2102202212269. The reversal of 2102202212200 is 22122022012.

It can be written as a sum of positive squares in 6 ways, for example, as 343538998884 + 1758663213316 = 586122^2 + 1326146^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46486299 + ... + 46531498.

Almost surely, 22102202212200 is an apocalyptic number.

2102202212200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102202212200 is an abundant number, since it is smaller than the sum of its proper divisors (2828671259780).

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

2102202212200 is a wasteful number, since it uses less digits than its factorization.

2102202212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93017926 (or 93017917 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2102202212200 its reverse (22122022012), we get a palindrome (2124324234212).

The spelling of 2102202212200 in words is "two trillion, one hundred two billion, two hundred two million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 200 226 452 565 904 1130 2260 2825 4520 5650 11300 22600 93017797 186035594 372071188 465088985 744142376 930177970 1860355940 2325444925 3720711880 4650889850 9301779700 10511011061 18603559400 21022022122 42044044244 52555055305 84088088488 105110110610 210220221220 262775276525 420440442440 525550553050 1051101106100 2102202212200