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10210221017 is a prime number
BaseRepresentation
bin10011000001001001…
…11001101111011001
3222100120022222010222
421200210321233121
5131402304033032
64405052245425
7511006306133
oct114044715731
928316288128
1010210221017
11436a449197
121b8b470875
13c69412ac9
146cc046053
153eb585a12
hex260939bd9

10210221017 has 2 divisors, whose sum is σ = 10210221018. Its totient is φ = 10210221016.

The previous prime is 10210220941. The next prime is 10210221031. The reversal of 10210221017 is 71012201201.

10210221017 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., 10193729296 + 16491721 = 100964^2 + 4061^2 .

It is a cyclic number.

It is not a de Polignac number, because 10210221017 - 222 = 10206026713 is a prime.

It is a super-2 number, since 2×102102210172 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10210220986 and 10210221004.

It is not a weakly prime, because it can be changed into another prime (10210221317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105110508 + 5105110509.

It is an arithmetic number, because the mean of its divisors is an integer number (5105110509).

Almost surely, 210210221017 is an apocalyptic number.

It is an amenable number.

10210221017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10210221017 is an equidigital number, since it uses as much as digits as its factorization.

10210221017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 17.

Adding to 10210221017 its reverse (71012201201), we get a palindrome (81222422218).

The spelling of 10210221017 in words is "ten billion, two hundred ten million, two hundred twenty-one thousand, seventeen".