Search a number
-
+
303421520051312 = 241313135333079539
BaseRepresentation
bin100010011111101011101001…
…1111010110111110001110000
31110210022210222102120002221112
41010333113103322313301300
5304232224233113120222
62553153531053212452
7120624324060161435
oct10477272372676160
91423283872502845
10303421520051312
1188752386982673
122a045159191128
131003c6acb40810
1454cd973a19b8c
152512a53dc2be2
hex113f5d3eb7c70

303421520051312 has 160 divisors (see below), whose sum is σ = 640001214800640. Its totient is φ = 138521573498880.

The previous prime is 303421520051297. The next prime is 303421520051401. The reversal of 303421520051312 is 213150025124303.

It is a super-2 number, since 2×3034215200513122 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31808520239 + ... + 31808529777.

It is an arithmetic number, because the mean of its divisors is an integer number (4000007592504).

Almost surely, 2303421520051312 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 303421520051312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320000607400320).

303421520051312 is an abundant number, since it is smaller than the sum of its proper divisors (336579694749328).

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

303421520051312 is a wasteful number, since it uses less digits than its factorization.

303421520051312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13351 (or 13345 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

Adding to 303421520051312 its reverse (213150025124303), we get a palindrome (516571545175615).

The spelling of 303421520051312 in words is "three hundred three trillion, four hundred twenty-one billion, five hundred twenty million, fifty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 104 131 208 262 353 524 706 1048 1412 1703 2096 2824 3307 3406 4589 5648 6614 6812 9178 9539 13228 13624 18356 19078 26456 27248 36712 38156 42991 46243 52912 73424 76312 85982 92486 124007 152624 171964 184972 248014 343928 369944 433217 496028 601159 687856 739888 866434 992056 1167371 1202318 1249609 1732868 1984112 2334742 2404636 2499218 3367267 3465736 4669484 4809272 4998436 5631821 6734534 6931472 9338968 9618544 9996872 11263642 13469068 15175823 16244917 18677936 19993744 22527284 26938136 30351646 31545473 32489834 43774471 45054568 53876272 60703292 63090946 64979668 87548942 90109136 121406584 126181892 129959336 152925601 175097884 242813168 252363784 259918672 305851202 350195768 410091149 441111977 504727568 611702404 700391536 820182298 882223954 1223404808 1640364596 1764447908 1988032813 2446809616 3280729192 3528895816 3976065626 4132456963 5734455701 6561458384 7057791632 7952131252 8264913926 11135551969 11468911402 15904262504 16529827852 22271103938 22937822804 31808525008 33059655704 44542207876 45875645608 53721940519 66119311408 89084415752 91751291216 107443881038 144762175597 178168831504 214887762076 289524351194 429775524152 579048702388 859551048304 1158097404776 1458757307939 2316194809552 2917514615878 5835029231756 11670058463512 18963845003207 23340116927024 37927690006414 75855380012828 151710760025656 303421520051312