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1210001000009 is a prime number
BaseRepresentation
bin10001100110111001101…
…011100000011001001001
311021200020001100112212012
4101212321223200121021
5124311040224000014
62323511120425305
7153263644541324
oct21467153403111
94250201315765
101210001000009
1142718202445a
1217660aa78235
138a1445653a9
14427c886b7bb
152171cbe4c3e
hex119b9ae0649

1210001000009 has 2 divisors, whose sum is σ = 1210001000010. Its totient is φ = 1210001000008.

The previous prime is 1210000999997. The next prime is 1210001000011. The reversal of 1210001000009 is 9000001000121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 607196275984 + 602804724025 = 779228^2 + 776405^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1210001000009 is a prime.

Together with 1210001000011, 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 = 1210000999957 and 1210001000002.

It is not a weakly prime, because it can be changed into another prime (1210001000029) by changing a digit.

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 as a sum of consecutive naturals, namely, 605000500004 + 605000500005.

It is an arithmetic number, because the mean of its divisors is an integer number (605000500005).

Almost surely, 21210001000009 is an apocalyptic number.

It is an amenable number.

1210001000009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1210001000009 is an equidigital number, since it uses as much as digits as its factorization.

1210001000009 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 1210001000009 in words is "one trillion, two hundred ten billion, one million, nine", and thus it is an aban number.