Search a number
-
+
301321330040 = 23517226065859
BaseRepresentation
bin1000110001010000010…
…01101001110101111000
31001210202121020112210202
410120220021221311320
514414101230030130
6350231453501332
730525011021453
oct4305011516570
91053677215722
10301321330040
111068760430a5
124a493aa1848
13225507c44c3
141082681649a
157c886b4145
hex4628269d78

301321330040 has 48 divisors (see below), whose sum is σ = 720199711800. Its totient is φ = 113438614016.

The previous prime is 301321329983. The next prime is 301321330043. The reversal of 301321330040 is 40033123103.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 301321329994 and 301321330021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301321330043) 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 11 ways as a sum of consecutive naturals, for example, 13021370 + ... + 13044489.

Almost surely, 2301321330040 is an apocalyptic number.

It is an amenable number.

301321330040 is an abundant number, since it is smaller than the sum of its proper divisors (418878381760).

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

301321330040 is a wasteful number, since it uses less digits than its factorization.

301321330040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26065904 (or 26065883 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 301321330040 its reverse (40033123103), we get a palindrome (341354453143).

The spelling of 301321330040 in words is "three hundred one billion, three hundred twenty-one million, three hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 289 340 578 680 1156 1445 2312 2890 5780 11560 26065859 52131718 104263436 130329295 208526872 260658590 443119603 521317180 886239206 1042634360 1772478412 2215598015 3544956824 4431196030 7533033251 8862392060 15066066502 17724784120 30132133004 37665166255 60264266008 75330332510 150660665020 301321330040