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1000010010009 = 341127425915031
BaseRepresentation
bin11101000110101010011…
…11011100110110011001
310112121012102020222122010
432203111033130312121
5112341010030310014
62043222005020133
7132151115556513
oct16432517346631
93477172228563
101000010010009
1135611364262a
121419853b4649
13733ba391b1a
14365878d0bb3
151b02c592359
hexe8d53dcd99

1000010010009 has 32 divisors (see below), whose sum is σ = 1377037025280. Its totient is φ = 645097219200.

The previous prime is 1000010009951. The next prime is 1000010010019. The reversal of 1000010010009 is 9000100100001.

It is not a de Polignac number, because 1000010010009 - 217 = 1000009878937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000010009976 and 1000010010003.

It is not an unprimeable number, because it can be changed into a prime (1000010010019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66522324 + ... + 66537354.

It is an arithmetic number, because the mean of its divisors is an integer number (43032407040).

Almost surely, 21000010010009 is an apocalyptic number.

It is an amenable number.

1000010010009 is a deficient number, since it is larger than the sum of its proper divisors (377027015271).

1000010010009 is a wasteful number, since it uses less digits than its factorization.

1000010010009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19461.

The product of its (nonzero) digits is 9, while the sum is 12.

The spelling of 1000010010009 in words is "one trillion, ten million, ten thousand, nine".

Divisors: 1 3 41 123 127 381 4259 5207 12777 15031 15621 45093 174619 523857 540893 616271 1622679 1848813 1908937 5726811 22176613 64017029 66529839 78266417 192051087 234799251 2624698189 7874094567 8130162683 24390488049 333336670003 1000010010009