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1006333152045 = 35135160682831
BaseRepresentation
bin11101010010011100010…
…00010100101100101101
310120012112002100212211220
432221032020110230231
5112441432241331140
62050145243533553
7132463605441114
oct16511610245455
93505462325756
101006333152045
11358868913851
1214304ab2a2b9
1373b8739bca0
14369c75b8c7b
151b29c75abd0
hexea4e214b2d

1006333152045 has 16 divisors (see below), whose sum is σ = 1733989431552. Its totient is φ = 495425551680.

The previous prime is 1006333152001. The next prime is 1006333152047. The reversal of 1006333152045 is 5402513336001.

It is not a de Polignac number, because 1006333152045 - 212 = 1006333147949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1006333151997 and 1006333152015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006333152047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2580341221 + ... + 2580341610.

It is an arithmetic number, because the mean of its divisors is an integer number (108374339472).

Almost surely, 21006333152045 is an apocalyptic number.

1006333152045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1006333152045 is a deficient number, since it is larger than the sum of its proper divisors (727656279507).

1006333152045 is a wasteful number, since it uses less digits than its factorization.

1006333152045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5160682852.

The product of its (nonzero) digits is 32400, while the sum is 33.

Adding to 1006333152045 its reverse (5402513336001), we get a palindrome (6408846488046).

The spelling of 1006333152045 in words is "one trillion, six billion, three hundred thirty-three million, one hundred fifty-two thousand, forty-five".

Divisors: 1 3 5 13 15 39 65 195 5160682831 15482048493 25803414155 67088876803 77410242465 201266630409 335444384015 1006333152045