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210120022009 is a prime number
BaseRepresentation
bin1100001110110000100…
…0010001011111111001
3202002100121220001212101
43003230020101133321
511420311211201014
6240310001143401
721115653501232
oct3035410213771
9662317801771
10210120022009
1181125302557
123488092ab61
1316a77b40591
14a254168089
1556ebb3e474
hex30ec2117f9

210120022009 has 2 divisors, whose sum is σ = 210120022010. Its totient is φ = 210120022008.

The previous prime is 210120022003. The next prime is 210120022043. The reversal of 210120022009 is 900220021012.

210120022009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 158824566784 + 51295455225 = 398528^2 + 226485^2 .

It is a cyclic number.

It is not a de Polignac number, because 210120022009 - 221 = 210117924857 is a prime.

It is not a weakly prime, because it can be changed into another prime (210120022003) 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, 105060011004 + 105060011005.

It is an arithmetic number, because the mean of its divisors is an integer number (105060011005).

Almost surely, 2210120022009 is an apocalyptic number.

It is an amenable number.

210120022009 is a deficient number, since it is larger than the sum of its proper divisors (1).

210120022009 is an equidigital number, since it uses as much as digits as its factorization.

210120022009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

The spelling of 210120022009 in words is "two hundred ten billion, one hundred twenty million, twenty-two thousand, nine".