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10218117 = 372135347
BaseRepresentation
bin100110111110…
…101010000101
3201020010121210
4212332222011
510103434432
61003002033
7152565300
oct46765205
921203553
1010218117
11584a028
123509319
132169c30
1414ddb37
15d6c8cc
hex9bea85

10218117 has 24 divisors (see below), whose sum is σ = 17070816. Its totient is φ = 5388768.

The previous prime is 10218113. The next prime is 10218119. The reversal of 10218117 is 71181201.

It is not a de Polignac number, because 10218117 - 22 = 10218113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10218093 and 10218102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10218113) 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 23 ways as a sum of consecutive naturals, for example, 763 + ... + 4584.

It is an arithmetic number, because the mean of its divisors is an integer number (711284).

Almost surely, 210218117 is an apocalyptic number.

It is an amenable number.

10218117 is a deficient number, since it is larger than the sum of its proper divisors (6852699).

10218117 is a wasteful number, since it uses less digits than its factorization.

10218117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5377 (or 5370 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 21.

The square root of 10218117 is about 3196.5789525679. The cubic root of 10218117 is about 216.9986125475.

Adding to 10218117 its reverse (71181201), we get a palindrome (81399318).

The spelling of 10218117 in words is "ten million, two hundred eighteen thousand, one hundred seventeen".

Divisors: 1 3 7 13 21 39 49 91 147 273 637 1911 5347 16041 37429 69511 112287 208533 262003 486577 786009 1459731 3406039 10218117