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1005404568130 = 25230943542857
BaseRepresentation
bin11101010000101101100…
…10000011101001000010
310120010010101001221012001
432220112302003221002
5112433032032140010
62045513153054214
7132431601552304
oct16502662035102
93503111057161
101005404568130
11358431738a26
12142a2bb5736a
1373a69ba8051
143693a13b974
151b245e84c3a
hexea16c83a42

1005404568130 has 16 divisors (see below), whose sum is σ = 1810512035640. Its totient is φ = 401987646592.

The previous prime is 1005404568121. The next prime is 1005404568193. The reversal of 1005404568130 is 318654045001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1004984195121 + 420373009 = 1002489^2 + 20503^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1005404568130.

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 7 ways as a sum of consecutive naturals, for example, 21748339 + ... + 21794518.

Almost surely, 21005404568130 is an apocalyptic number.

1005404568130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005404568130 is a deficient number, since it is larger than the sum of its proper divisors (805107467510).

1005404568130 is a wasteful number, since it uses less digits than its factorization.

1005404568130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43545173.

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 1005404568130 in words is "one trillion, five billion, four hundred four million, five hundred sixty-eight thousand, one hundred thirty".

Divisors: 1 2 5 10 2309 4618 11545 23090 43542857 87085714 217714285 435428570 100540456813 201080913626 502702284065 1005404568130