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2185313013 = 34135339157
BaseRepresentation
bin1000001001000001…
…0011101011110101
312122022001101220000
42002100103223311
513433420004023
61000502501513
7105103565652
oct20220235365
95568041800
102185313013
11a21609014
1250ba34899
1328a98b630
1416a336c29
15cbcba243
hex82413af5

2185313013 has 40 divisors (see below), whose sum is σ = 3582017208. Its totient is φ = 1319400576.

The previous prime is 2185312967. The next prime is 2185313017. The reversal of 2185313013 is 3103135812.

It can be written as a sum of positive squares in 4 ways, for example, as 513566244 + 1671746769 = 22662^2 + 40887^2 .

It is a de Polignac number, because none of the positive numbers 2k-2185313013 is a prime.

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 (2185313017) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36231 + ... + 75387.

Almost surely, 22185313013 is an apocalyptic number.

It is an amenable number.

2185313013 is a deficient number, since it is larger than the sum of its proper divisors (1396704195).

2185313013 is a wasteful number, since it uses less digits than its factorization.

2185313013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39235 (or 39226 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2185313013 is about 46747.3316136868. The cubic root of 2185313013 is about 1297.6907748487.

Adding to 2185313013 its reverse (3103135812), we get a palindrome (5288448825).

The spelling of 2185313013 in words is "two billion, one hundred eighty-five million, three hundred thirteen thousand, thirteen".

Divisors: 1 3 9 13 27 39 53 81 117 159 351 477 689 1053 1431 2067 4293 6201 18603 39157 55809 117471 352413 509041 1057239 1527123 2075321 3171717 4581369 6225963 13744107 18677889 26979173 41232321 56033667 80937519 168101001 242812557 728437671 2185313013