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101004217 is a prime number
BaseRepresentation
bin1100000010100…
…11001110111001
321001001112201221
412001103032321
5201324113332
614004512041
72334343636
oct601231671
9231045657
10101004217
1152017a66
12299ab621
1317c05912
14d5b318d
158d02297
hex60533b9

101004217 has 2 divisors, whose sum is σ = 101004218. Its totient is φ = 101004216.

The previous prime is 101004203. The next prime is 101004221. The reversal of 101004217 is 712400101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93141801 + 7862416 = 9651^2 + 2804^2 .

It is a cyclic number.

It is not a de Polignac number, because 101004217 - 211 = 101002169 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101004217.

It is not a weakly prime, because it can be changed into another prime (101004317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50502108 + 50502109.

It is an arithmetic number, because the mean of its divisors is an integer number (50502109).

Almost surely, 2101004217 is an apocalyptic number.

It is an amenable number.

101004217 is a deficient number, since it is larger than the sum of its proper divisors (1).

101004217 is an equidigital number, since it uses as much as digits as its factorization.

101004217 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 16.

The square root of 101004217 is about 10050.0854225225. The cubic root of 101004217 is about 465.7074320793.

Adding to 101004217 its reverse (712400101), we get a palindrome (813404318).

The spelling of 101004217 in words is "one hundred one million, four thousand, two hundred seventeen".