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33012203121 = 3253831674993
BaseRepresentation
bin11110101111101011…
…100011111001110001
310011012200021200020200
4132233223203321301
51020102110444441
623055434025413
72246034045102
oct365753437161
9104180250220
1033012203121
11130005898a7
126493878269
13316145cc01
14185250a3a9
15cd32cd7b6
hex7afae3e71

33012203121 has 48 divisors (see below), whose sum is σ = 49473680256. Its totient is φ = 21200744448.

The previous prime is 33012203113. The next prime is 33012203179. The reversal of 33012203121 is 12130221033.

33012203121 is a `hidden beast` number, since 330 + 1 + 2 + 20 + 312 + 1 = 666.

It is not a de Polignac number, because 33012203121 - 23 = 33012203113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 33012203094 and 33012203103.

It is not an unprimeable number, because it can be changed into a prime (33012203111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6609201 + ... + 6614193.

It is an arithmetic number, because the mean of its divisors is an integer number (1030701672).

Almost surely, 233012203121 is an apocalyptic number.

It is an amenable number.

33012203121 is a deficient number, since it is larger than the sum of its proper divisors (16461477135).

33012203121 is a wasteful number, since it uses less digits than its factorization.

33012203121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5302 (or 5299 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 33012203121 its reverse (12130221033), we get a palindrome (45142424154).

The spelling of 33012203121 in words is "thirty-three billion, twelve million, two hundred three thousand, one hundred twenty-one".

Divisors: 1 3 9 53 83 159 167 249 477 501 747 1503 4399 4993 8851 13197 13861 14979 26553 39591 41583 44937 79659 124749 264629 414419 734633 793887 833831 1243257 2203899 2381661 2501493 3729771 6611697 7504479 21964207 44193043 65892621 69207973 132579129 197677863 207623919 397737387 622871757 3668022569 11004067707 33012203121