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417104101 = 3122759273
BaseRepresentation
bin11000110111001…
…000000011100101
31002001212002021001
4120313020003211
51323234312401
6105215553301
713223216641
oct3067100345
91061762231
10417104101
111a4498537
12b782b831
136854c87b
143d577c21
1526941601
hex18dc80e5

417104101 has 8 divisors (see below), whose sum is σ = 432463104. Its totient is φ = 401864160.

The previous prime is 417104089. The next prime is 417104119. The reversal of 417104101 is 101401714.

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

It is a de Polignac number, because none of the positive numbers 2k-417104101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417104141) 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 in 7 ways as a sum of consecutive naturals, for example, 22600 + ... + 36673.

It is an arithmetic number, because the mean of its divisors is an integer number (54057888).

Almost surely, 2417104101 is an apocalyptic number.

It is an amenable number.

417104101 is a deficient number, since it is larger than the sum of its proper divisors (15359003).

417104101 is a wasteful number, since it uses less digits than its factorization.

417104101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59531.

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 417104101 is about 20423.1266215533. The cubic root of 417104101 is about 747.1620757180.

Adding to 417104101 its reverse (101401714), we get a palindrome (518505815).

It can be divided in two parts, 41710410 and 1, that added together give a triangular number (41710411 = T9133).

The spelling of 417104101 in words is "four hundred seventeen million, one hundred four thousand, one hundred one".

Divisors: 1 31 227 7037 59273 1837463 13454971 417104101