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10188117 = 321723917
BaseRepresentation
bin100110110111…
…010101010101
3201011121110200
4212313111111
510102004432
61002211113
7152411652
oct46672525
921147420
1010188117
115829535
1234b3a99
132159394
1414d2c29
15d63a7c
hex9b7555

10188117 has 18 divisors (see below), whose sum is σ = 15636738. Its totient is φ = 6390912.

The previous prime is 10188107. The next prime is 10188127. The reversal of 10188117 is 71188101.

It is an interprime number because it is at equal distance from previous prime (10188107) and next prime (10188127).

It can be written as a sum of positive squares in 3 ways, for example, as 5803281 + 4384836 = 2409^2 + 2094^2 .

It is not a de Polignac number, because 10188117 - 212 = 10184021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10188107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 643 + ... + 4559.

Almost surely, 210188117 is an apocalyptic number.

10188117 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10188117 is a deficient number, since it is larger than the sum of its proper divisors (5448621).

10188117 is a wasteful number, since it uses less digits than its factorization.

10188117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3957 (or 3937 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 27.

The square root of 10188117 is about 3191.8829865770. The cubic root of 10188117 is about 216.7860378372.

The spelling of 10188117 in words is "ten million, one hundred eighty-eight thousand, one hundred seventeen".

Divisors: 1 3 9 17 51 153 289 867 2601 3917 11751 35253 66589 199767 599301 1132013 3396039 10188117