Search a number
-
+
333132201313230 = 235117343143917307
BaseRepresentation
bin100101110111110110110001…
…0100001011100001111001110
31121200112010102220000011110210
41023233231202201130033032
5322131014222014010410
63140302453123543250
7130112002334066514
oct11357554241341716
91550463386004423
10333132201313230
11971676339a2610
123144330422ab26
13113b6302319a97
145c399826844b4
15287a7ee0bb220
hex12efb6285c3ce

333132201313230 has 256 divisors, whose sum is σ = 886523146371072. Its totient is φ = 79439248512000.

The previous prime is 333132201313207. The next prime is 333132201313231. The reversal of 333132201313230 is 32313102231333.

It is a super-2 number, since 2×3331322013132302 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (333132201313231) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45590827237 + ... + 45590834543.

It is an arithmetic number, because the mean of its divisors is an integer number (3462981040512).

Almost surely, 2333132201313230 is an apocalyptic number.

333132201313230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 333132201313230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443261573185536).

333132201313230 is an abundant number, since it is smaller than the sum of its proper divisors (553390945057842).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

333132201313230 is a wasteful number, since it uses less digits than its factorization.

333132201313230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12223.

The product of its (nonzero) digits is 17496, while the sum is 30.

Adding to 333132201313230 its reverse (32313102231333), we get a palindrome (365445303544563).

The spelling of 333132201313230 in words is "three hundred thirty-three trillion, one hundred thirty-two billion, two hundred one million, three hundred thirteen thousand, two hundred thirty".