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217102117 is a prime number
BaseRepresentation
bin11001111000010…
…11011100100101
3120010111221010011
430330023130211
5421034231432
633313130221
75244223531
oct1474133445
9503457104
10217102117
11101604041
1260859971
1335c946bb
1420b94bc1
15140d6847
hexcf0b725

217102117 has 2 divisors, whose sum is σ = 217102118. Its totient is φ = 217102116.

The previous prime is 217102097. The next prime is 217102147. The reversal of 217102117 is 711201712.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 174081636 + 43020481 = 13194^2 + 6559^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-217102117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (217102147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 108551058 + 108551059.

It is an arithmetic number, because the mean of its divisors is an integer number (108551059).

Almost surely, 2217102117 is an apocalyptic number.

It is an amenable number.

217102117 is a deficient number, since it is larger than the sum of its proper divisors (1).

217102117 is an equidigital number, since it uses as much as digits as its factorization.

217102117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 196, while the sum is 22.

The square root of 217102117 is about 14734.3855318096. The cubic root of 217102117 is about 601.0187479790.

Adding to 217102117 its reverse (711201712), we get a palindrome (928303829).

The spelling of 217102117 in words is "two hundred seventeen million, one hundred two thousand, one hundred seventeen".