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1000323012033 = 32232210107753
BaseRepresentation
bin11101000111001111110…
…01011101010111000001
310112122000020020010200200
432203213321131113001
5112342130142341113
62043313025435413
7132161636211042
oct16434771352701
93478006203620
101000323012033
11356264297694
12141a5219bb69
137343a192a17
14365b72ca8c9
151b049cbd873
hexe8e7e5d5c1

1000323012033 has 18 divisors (see below), whose sum is σ = 1510464643506. Its totient is φ = 637887135072.

The previous prime is 1000323011981. The next prime is 1000323012047. The reversal of 1000323012033 is 3302103230001.

It can be written as a sum of positive squares in only one way, i.e., 998654452929 + 1668559104 = 999327^2 + 40848^2 .

It is not a de Polignac number, because 1000323012033 - 28 = 1000323011777 is a prime.

It is a super-2 number, since 2×10003230120332 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1000323011997 and 1000323012015.

It is not an unprimeable number, because it can be changed into a prime (1000323012133) 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 17 ways as a sum of consecutive naturals, for example, 105049116 + ... + 105058637.

It is an arithmetic number, because the mean of its divisors is an integer number (83914702417).

Almost surely, 21000323012033 is an apocalyptic number.

It is an amenable number.

1000323012033 is a deficient number, since it is larger than the sum of its proper divisors (510141631473).

1000323012033 is a wasteful number, since it uses less digits than its factorization.

1000323012033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210107805 (or 210107779 counting only the distinct ones).

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

Adding to 1000323012033 its reverse (3302103230001), we get a palindrome (4302426242034).

The spelling of 1000323012033 in words is "one trillion, three hundred twenty-three million, twelve thousand, thirty-three".

Divisors: 1 3 9 23 69 207 529 1587 4761 210107753 630323259 1890969777 4832478319 14497434957 43492304871 111147001337 333441004011 1000323012033