Search a number
-
+
320304204012 = 223132972696053
BaseRepresentation
bin1001010100100111001…
…11100100100011101100
31010121202112212110110010
410222103213210203230
520221440334012022
6403051250413220
732066302545402
oct4522347444354
91117675773403
10320304204012
111139274112a1
12520b1291210
1324287546a00
14117079b3472
1584e9eb950c
hex4a939e48ec

320304204012 has 144 divisors (see below), whose sum is σ = 820807616160. Its totient is φ = 97160454144.

The previous prime is 320304203983. The next prime is 320304204029. The reversal of 320304204012 is 210402403023.

It is a super-2 number, since 2×3203042040122 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 320304204012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52913578 + ... + 52919630.

It is an arithmetic number, because the mean of its divisors is an integer number (5700052890).

Almost surely, 2320304204012 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 320304204012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410403808080).

320304204012 is an abundant number, since it is smaller than the sum of its proper divisors (500503412148).

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

320304204012 is a wasteful number, since it uses less digits than its factorization.

320304204012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6452 (or 6437 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 320304204012 its reverse (210402403023), we get a palindrome (530706607035).

The spelling of 320304204012 in words is "three hundred twenty billion, three hundred four million, two hundred four thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 97 156 169 194 269 291 338 388 507 538 582 676 807 1014 1076 1164 1261 1614 2028 2522 3228 3497 3783 5044 6053 6994 7566 10491 12106 13988 15132 16393 18159 20982 24212 26093 32786 36318 41964 45461 49179 52186 65572 72636 78279 78689 90922 98358 104372 136383 156558 157378 181844 196716 236067 272766 313116 314756 339209 472134 545532 587141 678418 944268 1017627 1022957 1174282 1356836 1628257 1761423 2035254 2045914 2348564 3068871 3256514 3522846 4070508 4091828 4409717 4884771 6137742 6513028 7045692 7632833 8819434 9769542 12275484 13229151 15265666 17638868 19539084 21167341 22898499 26458302 30531332 42334682 45796998 52916604 63502023 84669364 91593996 99226829 127004046 157940929 198453658 254008092 275175433 297680487 315881858 396907316 473822787 550350866 595360974 631763716 825526299 947645574 1100701732 1190721948 1651052598 1895291148 2053232077 3302105196 4106464154 6159696231 8212928308 12319392462 24638784924 26692017001 53384034002 80076051003 106768068004 160152102006 320304204012