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3300313121 = 7267353329
BaseRepresentation
bin1100010010110110…
…1100100000100001
322112000010021111022
43010231230200201
523224340004441
61303253055225
7144533125100
oct30455544041
98460107438
103300313121
111443a39106
12781327515
13407991a01
1423445c037
15144b1584b
hexc4b6c821

3300313121 has 6 divisors (see below), whose sum is σ = 3839139810. Its totient is φ = 2828839776.

The previous prime is 3300313117. The next prime is 3300313141. The reversal of 3300313121 is 1213130033.

It can be written as a sum of positive squares in only one way, i.e., 3276303121 + 24010000 = 57239^2 + 4900^2 .

It is not a de Polignac number, because 3300313121 - 22 = 3300313117 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3300313121.

It is not an unprimeable number, because it can be changed into a prime (3300313141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33676616 + ... + 33676713.

It is an arithmetic number, because the mean of its divisors is an integer number (639856635).

Almost surely, 23300313121 is an apocalyptic number.

It is an amenable number.

3300313121 is a deficient number, since it is larger than the sum of its proper divisors (538826689).

3300313121 is an equidigital number, since it uses as much as digits as its factorization.

3300313121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67353343 (or 67353336 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 3300313121 is about 57448.3517692196. The cubic root of 3300313121 is about 1488.8526399781.

Adding to 3300313121 its reverse (1213130033), we get a palindrome (4513443154).

The spelling of 3300313121 in words is "three billion, three hundred million, three hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 7 49 67353329 471473303 3300313121