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210211212021200 = 24521340425233081
BaseRepresentation
bin101111110010111110011100…
…100111101100110111010000
31000120021222212210112200112122
4233302332130213230313100
5210023100030234134300
62023025410405113412
762164154540354435
oct5762763447546720
91016258783480478
10210211212021200
1160a8608aa99a95
121b6b04116b8868
13903aaa8566a30
1439ca3c3d35b8c
151948121926c85
hexbf2f9c9ecdd0

210211212021200 has 60 divisors (see below), whose sum is σ = 543881085885228. Its totient is φ = 77616447513600.

The previous prime is 210211212021163. The next prime is 210211212021227. The reversal of 210211212021200 is 2120212112012.

It can be written as a sum of positive squares in 6 ways, for example, as 20105466823744 + 190105745197456 = 4483912^2 + 13787884^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20212611341 + ... + 20212621740.

Almost surely, 2210211212021200 is an apocalyptic number.

210211212021200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210211212021200 is an abundant number, since it is smaller than the sum of its proper divisors (333669873864028).

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

210211212021200 is a wasteful number, since it uses less digits than its factorization.

210211212021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40425233112 (or 40425233101 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 210211212021200 its reverse (2120212112012), we get a palindrome (212331424133212).

The spelling of 210211212021200 in words is "two hundred ten trillion, two hundred eleven billion, two hundred twelve million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 40425233081 80850466162 161700932324 202126165405 323401864648 404252330810 525528030053 646803729296 808504661620 1010630827025 1051056060106 1617009323240 2021261654050 2102112120212 2627640150265 3234018646480 4042523308100 4204224240424 5255280300530 8085046616200 8408448480848 10510560601060 13138200751325 16170093232400 21021121202120 26276401502650 42042242404240 52552803005300 105105606010600 210211212021200