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10001143144130 = 2517292028629441
BaseRepresentation
bin1001000110001001001010…
…0101011001111011000010
31022102002200212020222202212
42101202102211121323002
52302324320121103010
633134243422342122
72051362436042105
oct221422245317302
938362625228685
1010001143144130
113206508637136
12115635672a942
13577146c33b78
142680b4c9c73c
1512524549c505
hex91892959ec2

10001143144130 has 32 divisors (see below), whose sum is σ = 19718278176240. Its totient is φ = 3635303956480.

The previous prime is 10001143144127. The next prime is 10001143144163. The reversal of 10001143144130 is 3144134110001.

It can be written as a sum of positive squares in 8 ways, for example, as 6951960135649 + 3049183008481 = 2636657^2 + 1746191^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10001143144096 and 10001143144105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1014309791 + ... + 1014319650.

Almost surely, 210001143144130 is an apocalyptic number.

10001143144130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10001143144130 is a deficient number, since it is larger than the sum of its proper divisors (9717135032110).

10001143144130 is a wasteful number, since it uses less digits than its factorization.

10001143144130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028629494.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 10001143144130 its reverse (3144134110001), we get a palindrome (13145277254131).

The spelling of 10001143144130 in words is "ten trillion, one billion, one hundred forty-three million, one hundred forty-four thousand, one hundred thirty".

Divisors: 1 2 5 10 17 29 34 58 85 145 170 290 493 986 2465 4930 2028629441 4057258882 10143147205 20286294410 34486700497 58830253789 68973400994 117660507578 172433502485 294151268945 344867004970 588302537890 1000114314413 2000228628826 5000571572065 10001143144130