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13301400131300 = 22521039111417561
BaseRepresentation
bin1100000110001111100100…
…1110101101011011100100
31202002121020110000121002102
43001203321032231123210
53220412231413200200
644142325011231232
72541665044424351
oct301437116553344
952077213017072
1013301400131300
1142691016753a6
1215a9a97ba8518
137564168b0488
1433db110b1628
15180eeec146d5
hexc18f93ad6e4

13301400131300 has 72 divisors (see below), whose sum is σ = 29176283764992. Its totient is φ = 5263116768000.

The previous prime is 13301400131293. The next prime is 13301400131309. The reversal of 13301400131300 is 313100410331.

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

It is not an unprimeable number, because it can be changed into a prime (13301400131309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8674520 + ... + 10092080.

Almost surely, 213301400131300 is an apocalyptic number.

13301400131300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13301400131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14588141882496).

13301400131300 is an abundant number, since it is smaller than the sum of its proper divisors (15874883633692).

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

13301400131300 is a wasteful number, since it uses less digits than its factorization.

13301400131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418589 (or 1418582 counting only the distinct ones).

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

Adding to 13301400131300 its reverse (313100410331), we get a palindrome (13614500541631).

The spelling of 13301400131300 in words is "thirteen trillion, three hundred one billion, four hundred million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 206 412 515 911 1030 1822 2060 2575 3644 4555 5150 9110 10300 18220 22775 45550 91100 93833 187666 375332 469165 938330 1417561 1876660 2345825 2835122 4691650 5670244 7087805 9383300 14175610 28351220 35439025 70878050 141756100 146008783 292017566 584035132 730043915 1291398071 1460087830 2582796142 2920175660 3650219575 5165592284 6456990355 7300439150 12913980710 14600878300 25827961420 32284951775 64569903550 129139807100 133014001313 266028002626 532056005252 665070006565 1330140013130 2660280026260 3325350032825 6650700065650 13301400131300