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1313203313424 = 243531789288539
BaseRepresentation
bin10011000111000001000…
…001000101101100010000
311122112121101201021021110
4103013001001011230100
5133003420022012144
62443135520253320
7163606254663462
oct23070101055420
94575541637243
101313203313424
11466a21042a72
12192611171240
1396ab0643632
14477b8d1a132
152425d1380b9
hex131c1045b10

1313203313424 has 80 divisors (see below), whose sum is σ = 3458394273600. Its totient is φ = 429233745408.

The previous prime is 1313203313423. The next prime is 1313203313483. The reversal of 1313203313424 is 4243133023131.

It is a super-3 number, since 3×13132033134243 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1313203313391 and 1313203313400.

It is not an unprimeable number, because it can be changed into a prime (1313203313423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4406947 + ... + 4695485.

It is an arithmetic number, because the mean of its divisors is an integer number (43229928420).

Almost surely, 21313203313424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313203313424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729197136800).

1313203313424 is an abundant number, since it is smaller than the sum of its proper divisors (2145190960176).

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

1313203313424 is a wasteful number, since it uses less digits than its factorization.

1313203313424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290392 (or 290386 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 1313203313424 its reverse (4243133023131), we get a palindrome (5556336336555).

The spelling of 1313203313424 in words is "one trillion, three hundred thirteen billion, two hundred three million, three hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 636 848 1272 1789 2544 3578 5367 7156 10734 14312 21468 28624 42936 85872 94817 189634 284451 288539 379268 568902 577078 758536 865617 1137804 1154156 1517072 1731234 2275608 2308312 3462468 4551216 4616624 6924936 13849872 15292567 30585134 45877701 61170268 91755402 122340536 183510804 244681072 367021608 516196271 734043216 1032392542 1548588813 2064785084 3097177626 4129570168 6194355252 8259140336 12388710504 24777421008 27358402363 54716804726 82075207089 109433609452 164150414178 218867218904 328300828356 437734437808 656601656712 1313203313424