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10002210010 = 2513111768881
BaseRepresentation
bin10010101000010110…
…11001110011011010
3221211001220220200121
421110023121303122
5130441031210020
64332302023454
7502602245062
oct112413316332
927731826617
1010002210010
114272a94471
121b31877b8a
13c352b2380
146ac57a3a2
153d8197baa
hex2542d9cda

10002210010 has 32 divisors (see below), whose sum is σ = 19406539152. Its totient is φ = 3689763840.

The previous prime is 10002210007. The next prime is 10002210011. The reversal of 10002210010 is 1001220001.

10002210010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 169702729 + 9832507281 = 13027^2 + 99159^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10002209975 and 10002210002.

It is not an unprimeable number, because it can be changed into a prime (10002210011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110770 + ... + 179650.

Almost surely, 210002210010 is an apocalyptic number.

10002210010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10002210010 is a deficient number, since it is larger than the sum of its proper divisors (9404329142).

10002210010 is a wasteful number, since it uses less digits than its factorization.

10002210010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70018.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10002210010 its reverse (1001220001), we get a palindrome (11003430011).

Subtracting from 10002210010 its reverse (1001220001), we obtain a palindrome (9000990009).

The spelling of 10002210010 in words is "ten billion, two million, two hundred ten thousand, ten".

Divisors: 1 2 5 10 13 26 65 130 1117 2234 5585 11170 14521 29042 68881 72605 137762 145210 344405 688810 895453 1790906 4477265 8954530 76940077 153880154 384700385 769400770 1000221001 2000442002 5001105005 10002210010