Search a number
-
+
2300311321 = 73113171277
BaseRepresentation
bin1000100100011011…
…1111011100011001
312221022102220220121
42021012333130121
514202334430241
61020131353241
7111001216000
oct21106773431
95838386817
102300311321
11a80513a40
12542452821
132a8753a79
1417b70dc37
15d6e33ad1
hex891bf719

2300311321 has 64 divisors (see below), whose sum is σ = 3074457600. Its totient is φ = 1704024000.

The previous prime is 2300311309. The next prime is 2300311339. The reversal of 2300311321 is 1231130032.

It is not a de Polignac number, because 2300311321 - 25 = 2300311289 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2300311295 and 2300311304.

It is not an unprimeable number, because it can be changed into a prime (2300311381) 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, 8304235 + ... + 8304511.

It is an arithmetic number, because the mean of its divisors is an integer number (48038400).

Almost surely, 22300311321 is an apocalyptic number.

It is an amenable number.

2300311321 is a deficient number, since it is larger than the sum of its proper divisors (774146279).

2300311321 is a wasteful number, since it uses less digits than its factorization.

2300311321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 2300311321 is about 47961.5608690960. The cubic root of 2300311321 is about 1320.0656764460.

Adding to 2300311321 its reverse (1231130032), we get a palindrome (3531441353).

The spelling of 2300311321 in words is "two billion, three hundred million, three hundred eleven thousand, three hundred twenty-one".

Divisors: 1 7 11 31 49 71 77 217 277 341 343 497 539 781 1519 1939 2201 2387 3047 3479 3773 5467 8587 10633 13573 15407 16709 19667 21329 24211 24353 38269 60109 94457 95011 107849 116963 137669 149303 169477 216337 267883 420763 609677 661199 754943 963683 1045121 1186339 1514359 2945341 4267739 4628393 6706447 6745781 8304373 10600513 29874173 32398751 46945129 74203591 209119211 328615903 2300311321