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10382013 = 34128173
BaseRepresentation
bin100111100110…
…101010111101
3201112110110000
4213212222331
510124211023
61010304513
7154150155
oct47465275
921473400
1010382013
115951184
123588139
1321c6705
141543765
15da1243
hex9e6abd

10382013 has 10 divisors (see below), whose sum is σ = 15509054. Its totient is φ = 6921288.

The previous prime is 10382003. The next prime is 10382023. The reversal of 10382013 is 31028301.

It is an interprime number because it is at equal distance from previous prime (10382003) and next prime (10382023).

It can be written as a sum of positive squares in only one way, i.e., 10381284 + 729 = 3222^2 + 27^2 .

It is not a de Polignac number, because 10382013 - 26 = 10381949 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 (10382003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 64006 + ... + 64167.

Almost surely, 210382013 is an apocalyptic number.

It is an amenable number.

10382013 is a deficient number, since it is larger than the sum of its proper divisors (5127041).

10382013 is an equidigital number, since it uses as much as digits as its factorization.

10382013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128185 (or 128176 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10382013 is about 3222.1131265056. The cubic root of 10382013 is about 218.1526649968.

The spelling of 10382013 in words is "ten million, three hundred eighty-two thousand, thirteen".

Divisors: 1 3 9 27 81 128173 384519 1153557 3460671 10382013