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10210221200 = 245225525553
BaseRepresentation
bin10011000001001001…
…11001110010010000
3222100120022222101202
421200210321302100
5131402304034300
64405052250332
7511006306514
oct114044716220
928316288352
1010210221200
11436a449343
121b8b4709a8
13c69412c0a
146cc046144
153eb585ad5
hex260939c90

10210221200 has 30 divisors (see below), whose sum is σ = 24530057394. Its totient is φ = 4084088320.

The previous prime is 10210221193. The next prime is 10210221211. The reversal of 10210221200 is 212201201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 200618896 + 10009602304 = 14164^2 + 100048^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12762377 + ... + 12763176.

Almost surely, 210210221200 is an apocalyptic number.

10210221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210221200 is an abundant number, since it is smaller than the sum of its proper divisors (14319836194).

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

10210221200 is a wasteful number, since it uses less digits than its factorization.

10210221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25525571 (or 25525560 counting only the distinct ones).

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

Adding to 10210221200 its reverse (212201201), we get a palindrome (10422422401).

The spelling of 10210221200 in words is "ten billion, two hundred ten million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 25525553 51051106 102102212 127627765 204204424 255255530 408408848 510511060 638138825 1021022120 1276277650 2042044240 2552555300 5105110600 10210221200