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561100010000 = 245456110001
BaseRepresentation
bin10000010101001000010…
…10101011001000010000
31222122022000122211000212
420022210022223020100
533143113100310000
61105433224303252
755352403251315
oct10124412531020
91878260584025
10561100010000
111a6a63367332
12908b3311b28
1340bb076034a
141d22bc18d0c
15e8dec1ec35
hex82a42ab210

561100010000 has 50 divisors (see below), whose sum is σ = 1358479258422. Its totient is φ = 224440000000.

The previous prime is 561100009937. The next prime is 561100010033. The reversal of 561100010000 is 10001165.

It can be written as a sum of positive squares in 5 ways, for example, as 169559474176 + 391540535824 = 411776^2 + 625732^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 28045001 + ... + 28065000.

Almost surely, 2561100010000 is an apocalyptic number.

561100010000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

561100010000 is an abundant number, since it is smaller than the sum of its proper divisors (797379248422).

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

561100010000 is an equidigital number, since it uses as much as digits as its factorization.

561100010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56110029 (or 56110008 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

Adding to 561100010000 its reverse (10001165), we get a palindrome (561110011165).

The spelling of 561100010000 in words is "five hundred sixty-one billion, one hundred million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 56110001 112220002 224440004 280550005 448880008 561100010 897760016 1122200020 1402750025 2244400040 2805500050 4488800080 5611000100 7013750125 11222000200 14027500250 22444000400 28055000500 35068750625 56110001000 70137501250 112220002000 140275002500 280550005000 561100010000