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210122210033 is a prime number
BaseRepresentation
bin1100001110110001000…
…0100111101011110001
3202002100210000020021022
43003230100213223301
511420312241210113
6240310120105225
721116011213301
oct3035420475361
9662323006238
10210122210033
118112656743a
1234881605215
1316a78428478
14a254577601
1556ebe22908
hex30ec427af1

210122210033 has 2 divisors, whose sum is σ = 210122210034. Its totient is φ = 210122210032.

The previous prime is 210122210009. The next prime is 210122210083. The reversal of 210122210033 is 330012221012.

210122210033 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., 188137327504 + 21984882529 = 433748^2 + 148273^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-210122210033 is a prime.

It is a super-3 number, since 3×2101222100333 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 210122209993 and 210122210020.

It is not a weakly prime, because it can be changed into another prime (210122210083) 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, 105061105016 + 105061105017.

It is an arithmetic number, because the mean of its divisors is an integer number (105061105017).

Almost surely, 2210122210033 is an apocalyptic number.

It is an amenable number.

210122210033 is a deficient number, since it is larger than the sum of its proper divisors (1).

210122210033 is an equidigital number, since it uses as much as digits as its factorization.

210122210033 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 17.

Adding to 210122210033 its reverse (330012221012), we get a palindrome (540134431045).

The spelling of 210122210033 in words is "two hundred ten billion, one hundred twenty-two million, two hundred ten thousand, thirty-three".