Search a number
-
+
1313310301220 = 225452331451717
BaseRepresentation
bin10011000111000111011…
…001001101110000100100
311122112212212000210221102
4103013013121031300210
5133004124414114340
62443154301335232
7163612024241321
oct23070731156044
94575785023842
101313310301220
11466a76477535
12192640b67518
1396ac9862918
14477c9209b48
152426771d215
hex131c764dc24

1313310301220 has 24 divisors (see below), whose sum is σ = 2758014504504. Its totient is φ = 525312144896.

The previous prime is 1313310301201. The next prime is 1313310301267. The reversal of 1313310301220 is 221030133131.

It can be written as a sum of positive squares in 4 ways, for example, as 676183868416 + 637126432804 = 822304^2 + 798202^2 .

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 = 1313310301192 and 1313310301201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178802 + ... + 1630518.

It is an arithmetic number, because the mean of its divisors is an integer number (114917271021).

Almost surely, 21313310301220 is an apocalyptic number.

1313310301220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313310301220 is an abundant number, since it is smaller than the sum of its proper divisors (1444704203284).

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

1313310301220 is a wasteful number, since it uses less digits than its factorization.

1313310301220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496959 (or 1496957 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1313310301220 its reverse (221030133131), we get a palindrome (1534340434351).

The spelling of 1313310301220 in words is "one trillion, three hundred thirteen billion, three hundred ten million, three hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 45233 90466 180932 226165 452330 904660 1451717 2903434 5806868 7258585 14517170 29034340 65665515061 131331030122 262662060244 328327575305 656655150610 1313310301220