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10030312100 = 2252100303121
BaseRepresentation
bin10010101011101101…
…00110101010100100
3221220000210122111202
421111312212222210
5131020224441400
64335144222032
7503363150264
oct112566465244
927800718452
1010030312100
114287938a36
121b3b16a918
13c3b071523
146b21b37a4
153da8994d5
hex255da6aa4

10030312100 has 18 divisors (see below), whose sum is σ = 21765777474. Its totient is φ = 4012124800.

The previous prime is 10030312081. The next prime is 10030312151. The reversal of 10030312100 is 121303001.

10030312100 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 3 ways, for example, as 2646690916 + 7383621184 = 51446^2 + 85928^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 50151461 + ... + 50151660.

Almost surely, 210030312100 is an apocalyptic number.

10030312100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10030312100 is an abundant number, since it is smaller than the sum of its proper divisors (11735465374).

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

10030312100 is a wasteful number, since it uses less digits than its factorization.

10030312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100303135 (or 100303128 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 10030312100 its reverse (121303001), we get a palindrome (10151615101).

Subtracting from 10030312100 its reverse (121303001), we obtain a palindrome (9909009099).

The spelling of 10030312100 in words is "ten billion, thirty million, three hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 100303121 200606242 401212484 501515605 1003031210 2006062420 2507578025 5015156050 10030312100