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103585133 = 472203939
BaseRepresentation
bin1100010110010…
…01010101101101
321012220200002102
412023021111231
5203004211013
614140104445
72365313321
oct613112555
9235820072
10103585133
1153520053
122a835125
13185ca5a2
14da85981
159161d58
hex62c956d

103585133 has 4 divisors (see below), whose sum is σ = 105789120. Its totient is φ = 101381148.

The previous prime is 103585073. The next prime is 103585171. The reversal of 103585133 is 331585301.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 331585301 = 619535679.

It is a cyclic number.

It is not a de Polignac number, because 103585133 - 210 = 103584109 is a prime.

It is a super-3 number, since 3×1035851333 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 103585096 and 103585105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103585333) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1101923 + ... + 1102016.

It is an arithmetic number, because the mean of its divisors is an integer number (26447280).

Almost surely, 2103585133 is an apocalyptic number.

It is an amenable number.

103585133 is a deficient number, since it is larger than the sum of its proper divisors (2203987).

103585133 is an equidigital number, since it uses as much as digits as its factorization.

103585133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2203986.

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 103585133 is about 10177.6781733360. The cubic root of 103585133 is about 469.6407893630.

It can be divided in two parts, 1035 and 85133, that added together give a palindrome (86168).

The spelling of 103585133 in words is "one hundred three million, five hundred eighty-five thousand, one hundred thirty-three".

Divisors: 1 47 2203939 103585133