Search a number
-
+
320321131220 = 22516016056561
BaseRepresentation
bin1001010100101001010…
…00001001001011010100
31010121210201201110012202
410222110220021023110
520222004202144340
6403053053304032
732066566456016
oct4522450111324
91117721643182
10320321131220
11113935a22a22
12520b6a95018
132428abc25cc
1411709d3c1b6
1584eb70ec15
hex4a94a092d4

320321131220 has 12 divisors (see below), whose sum is σ = 672674375604. Its totient is φ = 128128452480.

The previous prime is 320321131187. The next prime is 320321131321. The reversal of 320321131220 is 22131123023.

It can be written as a sum of positive squares in 2 ways, for example, as 78284682436 + 242036448784 = 279794^2 + 491972^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 16016056561 = 320321131220 / (3 + 2 + 0 + 3 + 2 + 1 + 1 + 3 + 1 + 2 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 320321131192 and 320321131201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8008028261 + ... + 8008028300.

It is an arithmetic number, because the mean of its divisors is an integer number (56056197967).

Almost surely, 2320321131220 is an apocalyptic number.

It is an amenable number.

320321131220 is an abundant number, since it is smaller than the sum of its proper divisors (352353244384).

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

320321131220 is a wasteful number, since it uses less digits than its factorization.

320321131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16016056570 (or 16016056568 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 320321131220 its reverse (22131123023), we get a palindrome (342452254243).

The spelling of 320321131220 in words is "three hundred twenty billion, three hundred twenty-one million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 16016056561 32032113122 64064226244 80080282805 160160565610 320321131220