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301105230320 = 24559617103393
BaseRepresentation
bin1000110000110110100…
…01010011000111110000
31001210012112121112201102
410120123101103013300
514413130414332240
6350154214023532
730516445141226
oct4303321230760
91053175545642
10301105230320
11106775064194
124a433647ba8
1322517ac114b
1410805c42b16
157c74729815
hex461b4531f0

301105230320 has 80 divisors (see below), whose sum is σ = 713096010720. Its totient is φ = 118207660032.

The previous prime is 301105230317. The next prime is 301105230329. The reversal of 301105230320 is 23032501103.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 301105230292 and 301105230301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301105230329) 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 15 ways as a sum of consecutive naturals, for example, 2860544 + ... + 2963936.

It is an arithmetic number, because the mean of its divisors is an integer number (8913700134).

Almost surely, 2301105230320 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 301105230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356548005360).

301105230320 is an abundant number, since it is smaller than the sum of its proper divisors (411990780400).

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

301105230320 is a wasteful number, since it uses less digits than its factorization.

301105230320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104082 (or 104076 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 301105230320 its reverse (23032501103), we get a palindrome (324137731423).

The spelling of 301105230320 in words is "three hundred one billion, one hundred five million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 590 617 944 1180 1234 2360 2468 3085 4720 4936 6170 9872 12340 24680 36403 49360 72806 103393 145612 182015 206786 291224 364030 413572 516965 582448 728060 827144 1033930 1456120 1654288 2067860 2912240 4135720 6100187 8271440 12200374 24400748 30500935 48801496 61001870 63793481 97602992 122003740 127586962 244007480 255173924 318967405 488014960 510347848 637934810 1020695696 1275869620 2551739240 3763815379 5103478480 7527630758 15055261516 18819076895 30110523032 37638153790 60221046064 75276307580 150552615160 301105230320