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1000012100 = 225210000121
BaseRepresentation
bin111011100110101…
…111100101000100
32120200200212201012
4323212233211010
54022000341400
6243121421352
733531651113
oct7346574504
92520625635
101000012100
1147353198a
1223aa9a858
1312c242849
1496b51c7a
155cbd4d35
hex3b9af944

1000012100 has 18 divisors (see below), whose sum is σ = 2170026474. Its totient is φ = 400004800.

The previous prime is 1000012037. The next prime is 1000012121. The reversal of 1000012100 is 12100001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 53465344 + 946546756 = 7312^2 + 30766^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

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, 4999961 + ... + 5000160.

Almost surely, 21000012100 is an apocalyptic number.

1000012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000012100 is an abundant number, since it is smaller than the sum of its proper divisors (1170014374).

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

1000012100 is a wasteful number, since it uses less digits than its factorization.

1000012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10000135 (or 10000128 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 1000012100 is about 31622.9679189035. The cubic root of 1000012100 is about 1000.0040333171.

Adding to 1000012100 its reverse (12100001), we get a palindrome (1012112101).

It can be divided in two parts, 10000 and 12100, that multiplied together give a square (121000000 = 110002).

The spelling of 1000012100 in words is "one billion, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 10000121 20000242 40000484 50000605 100001210 200002420 250003025 500006050 1000012100