Search a number
-
+
320055002345 = 51339761320233
BaseRepresentation
bin1001010100001001100…
…00111100010011101001
31010121010011221201000202
410222010300330103221
520220433040033340
6403010425241545
732060155430051
oct4520460742351
91117104851022
10320055002345
11113809783401
12520419332b5
1324247a237c0
14116c2864561
1584d3191c15
hex4a84c3c4e9

320055002345 has 32 divisors (see below), whose sum is σ = 415348336032. Its totient is φ = 235356751872.

The previous prime is 320055002341. The next prime is 320055002357. The reversal of 320055002345 is 543200550023.

It can be written as a sum of positive squares in 16 ways, for example, as 204246148096 + 115808854249 = 451936^2 + 340307^2 .

It is a cyclic number.

It is not a de Polignac number, because 320055002345 - 22 = 320055002341 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (320055002341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15808349 + ... + 15828581.

It is an arithmetic number, because the mean of its divisors is an integer number (12979635501).

Almost surely, 2320055002345 is an apocalyptic number.

It is an amenable number.

320055002345 is a deficient number, since it is larger than the sum of its proper divisors (95293333687).

320055002345 is a wasteful number, since it uses less digits than its factorization.

320055002345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21261.

The product of its (nonzero) digits is 18000, while the sum is 29.

Adding to 320055002345 its reverse (543200550023), we get a palindrome (863255552368).

The spelling of 320055002345 in words is "three hundred twenty billion, fifty-five million, two thousand, three hundred forty-five".

Divisors: 1 5 13 65 397 613 1985 3065 5161 7969 20233 25805 39845 101165 243361 263029 1216805 1315145 3163693 8032501 12402829 15818465 40162505 62014145 104422513 161236777 522112565 806183885 4923923113 24619615565 64011000469 320055002345