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13330304500 = 2253374715331
BaseRepresentation
bin11000110101000110…
…00100110111110100
31021102000022122001111
430122203010313310
5204300024221000
610042430404404
7651223501342
oct143243046764
937360278044
1013330304500
115720678087
122700360704
131345950256
1490658a992
15530449cba
hex31a8c4df4

13330304500 has 96 divisors (see below), whose sum is σ = 30538400256. Its totient is φ = 5077296000.

The previous prime is 13330304497. The next prime is 13330304501. The reversal of 13330304500 is 540303331.

13330304500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13330304501) 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 31 ways as a sum of consecutive naturals, for example, 861835 + ... + 877165.

It is an arithmetic number, because the mean of its divisors is an integer number (318108336).

Almost surely, 213330304500 is an apocalyptic number.

13330304500 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 13330304500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15269200128).

13330304500 is an abundant number, since it is smaller than the sum of its proper divisors (17208095756).

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

13330304500 is a wasteful number, since it uses less digits than its factorization.

13330304500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15434 (or 15422 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 22.

Adding to 13330304500 its reverse (540303331), we get a palindrome (13870607831).

The spelling of 13330304500 in words is "thirteen billion, three hundred thirty million, three hundred four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 37 47 50 74 94 100 125 148 185 188 235 250 370 470 500 740 925 940 1175 1739 1850 2350 3478 3700 4625 4700 5875 6956 8695 9250 11750 15331 17390 18500 23500 30662 34780 43475 61324 76655 86950 153310 173900 217375 306620 383275 434750 567247 720557 766550 869500 1134494 1441114 1533100 1916375 2268988 2836235 2882228 3602785 3832750 5672470 7205570 7665500 11344940 14181175 14411140 18013925 26660609 28362350 36027850 53321218 56724700 70905875 72055700 90069625 106642436 133303045 141811750 180139250 266606090 283623500 360278500 533212180 666515225 1333030450 2666060900 3332576125 6665152250 13330304500