Search a number
-
+
3300132330201 = 372231249156417
BaseRepresentation
bin110000000001011111001…
…101110001101011011001
3102200111012220012101002210
4300001133031301223121
5413032132334031301
611004020532545333
7460266232653660
oct60013715615331
912614186171083
103300132330201
11106263a736683
12453707782249
131ac27cbb1ab5
14b5a27843dd7
155ac9d841ad6
hex3005f371ad9

3300132330201 has 32 divisors (see below), whose sum is σ = 5051817566208. Its totient is φ = 1877149877760.

The previous prime is 3300132330191. The next prime is 3300132330203. The reversal of 3300132330201 is 1020332310033.

3300132330201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3300132330201 - 26 = 3300132330137 is a prime.

It is a super-4 number, since 4×33001323302014 (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3300132330203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58467145 + ... + 58523561.

It is an arithmetic number, because the mean of its divisors is an integer number (157869298944).

Almost surely, 23300132330201 is an apocalyptic number.

It is an amenable number.

3300132330201 is a deficient number, since it is larger than the sum of its proper divisors (1751685236007).

3300132330201 is a wasteful number, since it uses less digits than its factorization.

3300132330201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69141.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 3300132330201 its reverse (1020332310033), we get a palindrome (4320464640234).

The spelling of 3300132330201 in words is "three trillion, three hundred billion, one hundred thirty-two million, three hundred thirty thousand, two hundred one".

Divisors: 1 3 7 21 223 669 1561 4683 12491 37473 56417 87437 169251 262311 394919 1184757 2785493 8356479 12580991 19498451 37742973 58495353 88066937 264200811 704704747 2114114241 4932933229 14798799687 157149158581 471447475743 1100044110067 3300132330201