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1001200100 = 225210012001
BaseRepresentation
bin111011101011010…
…001100111100100
32120202221020100012
4323223101213210
54022301400400
6243203105352
733545026505
oct7353214744
92522836305
101001200100
114741734aa
1223b372258
1312c56a4c4
1496d80bac
155cd6bd35
hex3bad19e4

1001200100 has 18 divisors (see below), whose sum is σ = 2172604434. Its totient is φ = 400480000.

The previous prime is 1001200099. The next prime is 1001200111. The reversal of 1001200100 is 10021001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 137780644 + 863419456 = 11738^2 + 29384^2 .

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, 5005901 + ... + 5006100.

Almost surely, 21001200100 is an apocalyptic number.

1001200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001200100 is an abundant number, since it is smaller than the sum of its proper divisors (1171404334).

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

1001200100 is a wasteful number, since it uses less digits than its factorization.

1001200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10012015 (or 10012008 counting only the distinct ones).

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

The square root of 1001200100 is about 31641.7461591487. The cubic root of 1001200100 is about 1000.3998734133.

Adding to 1001200100 its reverse (10021001), we get a palindrome (1011221101).

The spelling of 1001200100 in words is "one billion, one million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 10012001 20024002 40048004 50060005 100120010 200240020 250300025 500600050 1001200100