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1313310211300 = 225213133102113
BaseRepresentation
bin10011000111000111011…
…000110111110011100100
311122112212211212020121001
4103013013120313303210
5133004124403230200
62443154255403044
7163612023415213
oct23070730676344
94575784766531
101313310211300
11466a76415a1a
12192640b23484
1396ac9830a09
14477c91c507a
152426770176a
hex131c7637ce4

1313310211300 has 18 divisors (see below), whose sum is σ = 2849883158738. Its totient is φ = 525324084480.

The previous prime is 1313310211277. The next prime is 1313310211307. The reversal of 1313310211300 is 31120133131.

It can be written as a sum of positive squares in 3 ways, for example, as 51206258944 + 1262103952356 = 226288^2 + 1123434^2 .

It is a super-2 number, since 2×13133102113002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1313310211307) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6566550957 + ... + 6566551156.

Almost surely, 21313310211300 is an apocalyptic number.

1313310211300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313310211300 is an abundant number, since it is smaller than the sum of its proper divisors (1536572947438).

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

1313310211300 is a wasteful number, since it uses less digits than its factorization.

1313310211300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13133102127 (or 13133102120 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 1313310211300 its reverse (31120133131), we get a palindrome (1344430344431).

The spelling of 1313310211300 in words is "one trillion, three hundred thirteen billion, three hundred ten million, two hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 13133102113 26266204226 52532408452 65665510565 131331021130 262662042260 328327552825 656655105650 1313310211300