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10221002173 is a prime number
BaseRepresentation
bin10011000010011100…
…00001110110111101
3222101022121201010001
421201032001312331
5131413034032143
64410115314301
7511200041104
oct114116016675
928338551101
1010221002173
114375542238
121b92bab991
13c6b7190a5
146cd65103b
153ec4b514d
hex261381dbd

10221002173 has 2 divisors, whose sum is σ = 10221002174. Its totient is φ = 10221002172.

The previous prime is 10221002161. The next prime is 10221002227. The reversal of 10221002173 is 37120012201.

10221002173 is digitally balanced in base 2 and base 3, because in such bases 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., 6931062009 + 3289940164 = 83253^2 + 57358^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221002173 - 225 = 10187447741 is a prime.

It is a super-3 number, since 3×102210021733 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10221002173.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10221002573) 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, 5110501086 + 5110501087.

It is an arithmetic number, because the mean of its divisors is an integer number (5110501087).

Almost surely, 210221002173 is an apocalyptic number.

It is an amenable number.

10221002173 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221002173 is an equidigital number, since it uses as much as digits as its factorization.

10221002173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 19.

Adding to 10221002173 its reverse (37120012201), we get a palindrome (47341014374).

The spelling of 10221002173 in words is "ten billion, two hundred twenty-one million, two thousand, one hundred seventy-three".