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3001133311 = 112389133283
BaseRepresentation
bin1011001011100001…
…1010100011111111
321202011011100221121
42302320122203333
522121242231221
61213444411411
7134241132541
oct26270324377
97664140847
103001133311
111300074970
126b90a6b67
1338a9c0337
1420681d691
15128719a41
hexb2e1a8ff

3001133311 has 16 divisors (see below), whose sum is σ = 3454721280. Its totient is φ = 2580339520.

The previous prime is 3001133273. The next prime is 3001133383. The reversal of 3001133311 is 1133311003.

It is not a de Polignac number, because 3001133311 - 27 = 3001133183 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001133711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44125 + ... + 89158.

It is an arithmetic number, because the mean of its divisors is an integer number (215920080).

Almost surely, 23001133311 is an apocalyptic number.

3001133311 is a deficient number, since it is larger than the sum of its proper divisors (453587969).

3001133311 is a wasteful number, since it uses less digits than its factorization.

3001133311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133406.

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 3001133311 is about 54782.6004402858. The cubic root of 3001133311 is about 1442.4311604765.

Adding to 3001133311 its reverse (1133311003), we get a palindrome (4134444314).

The spelling of 3001133311 in words is "three billion, one million, one hundred thirty-three thousand, three hundred eleven".

Divisors: 1 11 23 89 253 979 2047 22517 133283 1466113 3065509 11862187 33720599 130484057 272830301 3001133311