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1001021000009 is a prime number
BaseRepresentation
bin11101001000100011000…
…00000100100101001001
310112200210212121121012012
432210101200010211021
5112400042334000014
62043510202025305
7132215143052312
oct16442140044511
93480725547165
101001021000009
11356592292358
12142007aa8235
137351b979364
1436641c9d609
151b08b1e4c3e
hexe911804949

1001021000009 has 2 divisors, whose sum is σ = 1001021000010. Its totient is φ = 1001021000008.

The previous prime is 1001020999897. The next prime is 1001021000011. The reversal of 1001021000009 is 9000001201001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 998806356409 + 2214643600 = 999403^2 + 47060^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1001021000009 is a prime.

Together with 1001021000011, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001020999957 and 1001021000002.

It is not a weakly prime, because it can be changed into another prime (1001021000039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500510500004 + 500510500005.

It is an arithmetic number, because the mean of its divisors is an integer number (500510500005).

Almost surely, 21001021000009 is an apocalyptic number.

It is an amenable number.

1001021000009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001021000009 is an equidigital number, since it uses as much as digits as its factorization.

1001021000009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 14.

The spelling of 1001021000009 in words is "one trillion, one billion, twenty-one million, nine", and thus it is an aban number and an uban number.