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10132017 = 3717101281
BaseRepresentation
bin100110101001…
…101000110001
3201001202111220
4212221220301
510043211032
61001055253
7152056260
oct46515061
921052456
1010132017
1157a0375
123487529
13213999c
1414ba5d7
15d5212c
hex9a9a31

10132017 has 32 divisors (see below), whose sum is σ = 16568064. Its totient is φ = 5376000.

The previous prime is 10132013. The next prime is 10132019. The reversal of 10132017 is 71023101.

10132017 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10132017 - 22 = 10132013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10131987 and 10132005.

It is not an unprimeable number, because it can be changed into a prime (10132013) 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 31 ways as a sum of consecutive naturals, for example, 35917 + ... + 36197.

It is an arithmetic number, because the mean of its divisors is an integer number (517752).

Almost surely, 210132017 is an apocalyptic number.

10132017 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10132017 is a deficient number, since it is larger than the sum of its proper divisors (6436047).

10132017 is a wasteful number, since it uses less digits than its factorization.

10132017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409.

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 10132017 is about 3183.0829395415. The cubic root of 10132017 is about 216.3874006238.

Adding to 10132017 its reverse (71023101), we get a palindrome (81155118).

The spelling of 10132017 in words is "ten million, one hundred thirty-two thousand, seventeen".

Divisors: 1 3 7 17 21 51 101 119 281 303 357 707 843 1717 1967 2121 4777 5151 5901 12019 14331 28381 33439 36057 85143 100317 198667 482477 596001 1447431 3377339 10132017