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330133132033 = 7131337339827
BaseRepresentation
bin1001100110111010111…
…01111101001100000001
31011120010112201201221021
410303131131331030001
520402103040211113
6411354442425441
732565002215255
oct4633535751401
91146115651837
10330133132033
11118010601401
1253b94b02281
1325192967c53
1411d9b124265
1588c2d3448d
hex4cdd77d301

330133132033 has 16 divisors (see below), whose sum is σ = 336761352576. Its totient is φ = 323565540480.

The previous prime is 330133131941. The next prime is 330133132039. The reversal of 330133132033 is 330231331033.

It is a cyclic number.

It is not a de Polignac number, because 330133132033 - 217 = 330133000961 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 330133131989 and 330133132007.

It is not an unprimeable number, because it can be changed into a prime (330133132039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8269266 + ... + 8309092.

It is an arithmetic number, because the mean of its divisors is an integer number (21047584536).

Almost surely, 2330133132033 is an apocalyptic number.

It is an amenable number.

330133132033 is a deficient number, since it is larger than the sum of its proper divisors (6628220543).

330133132033 is a wasteful number, since it uses less digits than its factorization.

330133132033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40584.

The product of its (nonzero) digits is 4374, while the sum is 25.

Adding to 330133132033 its reverse (330231331033), we get a palindrome (660364463066).

The spelling of 330133132033 in words is "three hundred thirty billion, one hundred thirty-three million, one hundred thirty-two thousand, thirty-three".

Divisors: 1 71 313 373 22223 26483 39827 116749 2827717 8289179 12465851 14855471 885075421 1054738441 4649762423 330133132033