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284135013 = 3343244733
BaseRepresentation
bin10000111011111…
…000111001100101
3201210122112222000
4100323320321211
51040214310023
644105555513
710020051651
oct2073707145
9653575860
10284135013
11136428928
127b1a5b99
1346b34836
1429a43a61
1519e28243
hex10ef8e65

284135013 has 16 divisors (see below), whose sum is σ = 430731840. Its totient is φ = 185017392.

The previous prime is 284135009. The next prime is 284135017. The reversal of 284135013 is 310531482.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (284135009) and next prime (284135017).

It is not a de Polignac number, because 284135013 - 22 = 284135009 is a prime.

It is a super-2 number, since 2×2841350132 = 161465411225020338, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284135017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121206 + ... + 123527.

It is an arithmetic number, because the mean of its divisors is an integer number (26920740).

Almost surely, 2284135013 is an apocalyptic number.

It is an amenable number.

284135013 is a deficient number, since it is larger than the sum of its proper divisors (146596827).

284135013 is a wasteful number, since it uses less digits than its factorization.

284135013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244785 (or 244779 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 284135013 is about 16856.3048441822. The cubic root of 284135013 is about 657.4179905136.

Adding to 284135013 its reverse (310531482), we get a palindrome (594666495).

The spelling of 284135013 in words is "two hundred eighty-four million, one hundred thirty-five thousand, thirteen".

Divisors: 1 3 9 27 43 129 387 1161 244733 734199 2202597 6607791 10523519 31570557 94711671 284135013