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33322330001 = 312431037829
BaseRepresentation
bin11111000010001010…
…100110011110010001
310012000021211202100102
4133002022212132101
51021221004030001
623150313102145
72256521063102
oct370212463621
9105007752312
1033322330001
111314a64a804
12655b6b7955
1331b079523c
1418817983a9
15d0063ce6b
hex7c22a6791

33322330001 has 24 divisors (see below), whose sum is σ = 35579269440. Its totient is φ = 31187691360.

The previous prime is 33322329991. The next prime is 33322330009. The reversal of 33322330001 is 10003322333.

It is a de Polignac number, because none of the positive numbers 2k-33322330001 is a prime.

It is a super-2 number, since 2×333223300012 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33322330009) 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 23 ways as a sum of consecutive naturals, for example, 4252355 + ... + 4260183.

It is an arithmetic number, because the mean of its divisors is an integer number (1482469560).

Almost surely, 233322330001 is an apocalyptic number.

33322330001 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

33322330001 is a deficient number, since it is larger than the sum of its proper divisors (2256939439).

33322330001 is a wasteful number, since it uses less digits than its factorization.

33322330001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8037 (or 8006 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 33322330001 its reverse (10003322333), we get a palindrome (43325652334).

The spelling of 33322330001 in words is "thirty-three billion, three hundred twenty-two million, three hundred thirty thousand, one".

Divisors: 1 31 43 103 961 1333 3193 4429 7829 41323 98983 137299 242699 336647 806387 4256269 7523669 10436057 24997997 34674641 323517767 774937907 1074913871 33322330001