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1002211001009 is a prime number
BaseRepresentation
bin11101001010110000110…
…11100100001010110001
310112210212210210220200022
432211120123210022301
5112410012004013014
62044224231533225
7132256502644061
oct16453033441261
93483783726608
101002211001009
11357042a89759
1214229a52a215
137367b37c56a
1436715d493a1
151b10a907a8e
hexe9586e42b1

1002211001009 has 2 divisors, whose sum is σ = 1002211001010. Its totient is φ = 1002211001008.

The previous prime is 1002211001003. The next prime is 1002211001017. The reversal of 1002211001009 is 9001001122001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 843647761009 + 158563240000 = 918503^2 + 398200^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002211001009 - 28 = 1002211000753 is a prime.

It is not a weakly prime, because it can be changed into another prime (1002211001003) 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, 501105500504 + 501105500505.

It is an arithmetic number, because the mean of its divisors is an integer number (501105500505).

Almost surely, 21002211001009 is an apocalyptic number.

It is an amenable number.

1002211001009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002211001009 is an equidigital number, since it uses as much as digits as its factorization.

1002211001009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

The spelling of 1002211001009 in words is "one trillion, two billion, two hundred eleven million, one thousand, nine".