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2813101005 = 3511136472027
BaseRepresentation
bin1010011110101100…
…1000001111001101
321021001100100010010
42213223020033031
521230123213010
61143050303433
7126465651441
oct24753101715
97231310103
102813101005
111213a16470
12666127b79
1335aa66410
141c9874821
15116e76620
hexa7ac83cd

2813101005 has 64 divisors (see below), whose sum is σ = 5298628608. Its totient is φ = 1256444160.

The previous prime is 2813101003. The next prime is 2813101019. The reversal of 2813101005 is 5001013182.

It is not a de Polignac number, because 2813101005 - 21 = 2813101003 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2813101003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1386802 + ... + 1388828.

It is an arithmetic number, because the mean of its divisors is an integer number (82791072).

Almost surely, 22813101005 is an apocalyptic number.

It is an amenable number.

2813101005 is a deficient number, since it is larger than the sum of its proper divisors (2485527603).

2813101005 is a wasteful number, since it uses less digits than its factorization.

2813101005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2706.

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 2813101005 is about 53038.6746157933. The cubic root of 2813101005 is about 1411.6545814687.

Adding to 2813101005 its reverse (5001013182), we get a palindrome (7814114187).

The spelling of 2813101005 in words is "two billion, eight hundred thirteen million, one hundred one thousand, five".

Divisors: 1 3 5 11 13 15 33 39 55 65 143 165 195 429 647 715 1941 2027 2145 3235 6081 7117 8411 9705 10135 21351 22297 25233 26351 30405 35585 42055 66891 79053 92521 106755 111485 126165 131755 277563 289861 334455 395265 462605 869583 1311469 1387815 1449305 3934407 4347915 6557345 14426159 17049097 19672035 43278477 51147291 72130795 85245485 187540067 216392385 255736455 562620201 937700335 2813101005