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10212100 = 2252102121
BaseRepresentation
bin100110111101…
…001100000100
3201012211100221
4212331030010
510103241400
61002514124
7152541613
oct46751404
921184327
1010212100
115845558
123505944
132167282
1414db87a
15d6ac1a
hex9bd304

10212100 has 18 divisors (see below), whose sum is σ = 22160474. Its totient is φ = 4084800.

The previous prime is 10212077. The next prime is 10212119. The reversal of 10212100 is 121201.

It can be written as a sum of positive squares in 3 ways, for example, as 61504 + 10150596 = 248^2 + 3186^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50961 + ... + 51160.

Almost surely, 210212100 is an apocalyptic number.

10212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212100 is an abundant number, since it is smaller than the sum of its proper divisors (11948374).

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

10212100 is a wasteful number, since it uses less digits than its factorization.

10212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102135 (or 102128 counting only the distinct ones).

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

The square root of 10212100 is about 3195.6376515494. The cubic root of 10212100 is about 216.9560105357.

Adding to 10212100 its reverse (121201), we get a palindrome (10333301).

The spelling of 10212100 in words is "ten million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 102121 204242 408484 510605 1021210 2042420 2553025 5106050 10212100