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10012100200 = 235250060501
BaseRepresentation
bin10010101001100010…
…01000011001101000
3221211202112101110221
421110301020121220
5131001044201300
64333254015424
7503052306334
oct112461103150
927752471427
1010012100200
11427862a083
121b35047574
13c37365c5b
146ad9d27c4
153d8e9d31a
hex254c48668

10012100200 has 24 divisors (see below), whose sum is σ = 23278133430. Its totient is φ = 4004840000.

The previous prime is 10012100159. The next prime is 10012100201. The reversal of 10012100200 is 200121001.

It can be written as a sum of positive squares in 3 ways, for example, as 9499621156 + 512479044 = 97466^2 + 22638^2 .

It is not an unprimeable number, because it can be changed into a prime (10012100201) by changing a digit.

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, 25030051 + ... + 25030450.

Almost surely, 210012100200 is an apocalyptic number.

10012100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012100200 is an abundant number, since it is smaller than the sum of its proper divisors (13266033230).

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

10012100200 is a wasteful number, since it uses less digits than its factorization.

10012100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50060517 (or 50060508 counting only the distinct ones).

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

Adding to 10012100200 its reverse (200121001), we get a palindrome (10212221201).

The spelling of 10012100200 in words is "ten billion, twelve million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 50060501 100121002 200242004 250302505 400484008 500605010 1001210020 1251512525 2002420040 2503025050 5006050100 10012100200