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1013100217 is a prime number
BaseRepresentation
bin111100011000101…
…010111010111001
32121121022211020021
4330120222322321
54033323201332
6244310130441
734051131643
oct7430527271
92547284207
101013100217
1147a961208
12243350a21
13131b75bac
149879b893
155de1cc97
hex3c62aeb9

1013100217 has 2 divisors, whose sum is σ = 1013100218. Its totient is φ = 1013100216.

The previous prime is 1013100211. The next prime is 1013100229. The reversal of 1013100217 is 7120013101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1012576041 + 524176 = 31821^2 + 724^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013100217 - 27 = 1013100089 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1013100217.

It is not a weakly prime, because it can be changed into another prime (1013100211) 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, 506550108 + 506550109.

It is an arithmetic number, because the mean of its divisors is an integer number (506550109).

Almost surely, 21013100217 is an apocalyptic number.

It is an amenable number.

1013100217 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013100217 is an equidigital number, since it uses as much as digits as its factorization.

1013100217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 16.

The square root of 1013100217 is about 31829.2352562860. The cubic root of 1013100217 is about 1004.3478081680.

Adding to 1013100217 its reverse (7120013101), we get a palindrome (8133113318).

The spelling of 1013100217 in words is "one billion, thirteen million, one hundred thousand, two hundred seventeen".