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102017417 = 1138591051
BaseRepresentation
bin1100001010010…
…10100110001001
321002222000120212
412011022212021
5202104024132
614042330505
72346063605
oct605124611
9232860525
10102017417
115264a217
122a1b9a35
131819bb48
14d798505
158e525b2
hex614a989

102017417 has 8 divisors (see below), whose sum is σ = 103138080. Its totient is φ = 100900800.

The previous prime is 102017393. The next prime is 102017423. The reversal of 102017417 is 714710201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102017417 - 210 = 102016393 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102017392 and 102017401.

It is not an unprimeable number, because it can be changed into a prime (102017317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96542 + ... + 97592.

It is an arithmetic number, because the mean of its divisors is an integer number (12892260).

Almost surely, 2102017417 is an apocalyptic number.

It is an amenable number.

102017417 is a deficient number, since it is larger than the sum of its proper divisors (1120663).

102017417 is a wasteful number, since it uses less digits than its factorization.

102017417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2023.

The product of its (nonzero) digits is 392, while the sum is 23.

The square root of 102017417 is about 10100.3671715438. The cubic root of 102017417 is about 467.2594654231.

Adding to 102017417 its reverse (714710201), we get a palindrome (816727618).

The spelling of 102017417 in words is "one hundred two million, seventeen thousand, four hundred seventeen".

Divisors: 1 113 859 1051 97067 118763 902809 102017417