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1033321332001 = 72293467209743
BaseRepresentation
bin11110000100101101100…
…00000011110100100001
310122210011221101110211111
433002112300003310201
5113412220230111001
62110411250143321
7134440444254400
oct17022660036441
93583157343744
101033321332001
11369257a53902
12148321281b41
13765987a173a
1438027a21637
151bd2bc58851
hexf096c03d21

1033321332001 has 24 divisors (see below), whose sum is σ = 1243840648320. Its totient is φ = 854911747872.

The previous prime is 1033321331981. The next prime is 1033321332011. The reversal of 1033321332001 is 1002331233301.

It is not a de Polignac number, because 1033321332001 - 27 = 1033321331873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1033321332011) 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, 4821736 + ... + 5031478.

It is an arithmetic number, because the mean of its divisors is an integer number (51826693680).

Almost surely, 21033321332001 is an apocalyptic number.

It is an amenable number.

1033321332001 is a deficient number, since it is larger than the sum of its proper divisors (210519316319).

1033321332001 is a wasteful number, since it uses less digits than its factorization.

1033321332001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213253 (or 213246 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 1033321332001 its reverse (1002331233301), we get a palindrome (2035652565302).

The spelling of 1033321332001 in words is "one trillion, thirty-three billion, three hundred twenty-one million, three hundred thirty-two thousand, one".

Divisors: 1 7 29 49 203 1421 3467 24269 100543 169883 209743 703801 1468201 4926607 6082547 10277407 42577829 298044803 727178981 5090252867 21088190449 35631770069 147617333143 1033321332001