Search a number
-
+
1313332330200 = 2335211261296557
BaseRepresentation
bin10011000111001000101…
…101001111111011011000
311122112221101111000000120
4103013020231033323120
5133004201034031300
62443200405433240
7163612412420622
oct23071055177330
94575841430016
101313332330200
11466a87953200
1219264840b820
1396b012a6717
14477cc101c12
15242696203a0
hex131c8b4fed8

1313332330200 has 288 divisors, whose sum is σ = 4548476118480. Its totient is φ = 313163136000.

The previous prime is 1313332330187. The next prime is 1313332330207. The reversal of 1313332330200 is 20332333131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313332330207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4280322 + ... + 4576878.

Almost surely, 21313332330200 is an apocalyptic number.

1313332330200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313332330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274238059240).

1313332330200 is an abundant number, since it is smaller than the sum of its proper divisors (3235143788280).

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

1313332330200 is a wasteful number, since it uses less digits than its factorization.

1313332330200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296659 (or 296639 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 1313332330200 its reverse (20332333131), we get a palindrome (1333664663331).

The spelling of 1313332330200 in words is "one trillion, three hundred thirteen billion, three hundred thirty-two million, three hundred thirty thousand, two hundred".