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3001233131 = 132327137039
BaseRepresentation
bin1011001011100011…
…0010111011101011
321202011100102212122
42302320302323223
522121303430011
61213450501455
7134242026551
oct26270627353
97664312778
103001233131
111300132966
126b913488b
1338aa268c0
14206847bd1
151287393db
hexb2e32eeb

3001233131 has 16 divisors (see below), whose sum is σ = 3385159680. Its totient is φ = 2640068640.

The previous prime is 3001233097. The next prime is 3001233161. The reversal of 3001233131 is 1313321003.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3001233131 is a prime.

It is a super-2 number, since 2×30012331312 = 18014800613224126322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3001233161) 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, 62510 + ... + 99548.

It is an arithmetic number, because the mean of its divisors is an integer number (211572480).

Almost surely, 23001233131 is an apocalyptic number.

3001233131 is a deficient number, since it is larger than the sum of its proper divisors (383926549).

3001233131 is a wasteful number, since it uses less digits than its factorization.

3001233131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37346.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 3001233131 is about 54783.5114884032. The cubic root of 3001233131 is about 1442.4471524221.

Adding to 3001233131 its reverse (1313321003), we get a palindrome (4314554134).

The spelling of 3001233131 in words is "three billion, one million, two hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 13 23 271 299 3523 6233 37039 81029 481507 851897 10037569 11074661 130488397 230864087 3001233131