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3002133321 = 331115436551
BaseRepresentation
bin1011001011110000…
…1110101101001001
321202020001011201000
42302330032231021
522122021231241
61213522045213
7134252466165
oct26274165511
97666034630
103002133321
111300698220
126b94a9809
1338ac80565
142069ddca5
15128865eb6
hexb2f0eb49

3002133321 has 32 divisors (see below), whose sum is σ = 4855818240. Its totient is φ = 1818018000.

The previous prime is 3002133311. The next prime is 3002133349. The reversal of 3002133321 is 1233312003.

It is not a de Polignac number, because 3002133321 - 25 = 3002133289 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3002133294 and 3002133303.

It is not an unprimeable number, because it can be changed into a prime (3002133311) 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 31 ways as a sum of consecutive naturals, for example, 454996 + ... + 461546.

It is an arithmetic number, because the mean of its divisors is an integer number (151744320).

Almost surely, 23002133321 is an apocalyptic number.

It is an amenable number.

3002133321 is a deficient number, since it is larger than the sum of its proper divisors (1853684919).

3002133321 is a wasteful number, since it uses less digits than its factorization.

3002133321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8114 (or 8108 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3002133321 is about 54791.7267568745. The cubic root of 3002133321 is about 1442.5913538937.

Adding to 3002133321 its reverse (1233312003), we get a palindrome (4235445324).

The spelling of 3002133321 in words is "three billion, two million, one hundred thirty-three thousand, three hundred twenty-one".

Divisors: 1 3 9 11 27 33 99 297 1543 4629 6551 13887 16973 19653 41661 50919 58959 72061 152757 176877 216183 458271 648549 1945647 10108193 30324579 90973737 111190123 272921211 333570369 1000711107 3002133321