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210122210009 is a prime number
BaseRepresentation
bin1100001110110001000…
…0100111101011011001
3202002100210000020020102
43003230100213223121
511420312241210014
6240310120105145
721116011213235
oct3035420475331
9662323006212
10210122210009
1181126567418
12348816051b5
1316a7842845a
14a2545775c5
1556ebe228de
hex30ec427ad9

210122210009 has 2 divisors, whose sum is σ = 210122210010. Its totient is φ = 210122210008.

The previous prime is 210122209967. The next prime is 210122210033. The reversal of 210122210009 is 900012221012.

It is a happy number.

210122210009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 191769547225 + 18352662784 = 437915^2 + 135472^2 .

It is a cyclic number.

It is not a de Polignac number, because 210122210009 - 212 = 210122205913 is a prime.

It is a super-3 number, since 3×2101222100093 (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (210122210609) 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, 105061105004 + 105061105005.

It is an arithmetic number, because the mean of its divisors is an integer number (105061105005).

Almost surely, 2210122210009 is an apocalyptic number.

It is an amenable number.

210122210009 is a deficient number, since it is larger than the sum of its proper divisors (1).

210122210009 is an equidigital number, since it uses as much as digits as its factorization.

210122210009 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 20.

The spelling of 210122210009 in words is "two hundred ten billion, one hundred twenty-two million, two hundred ten thousand, nine".