Search a number
-
+
30120223221309 = 31361791795091759
BaseRepresentation
bin1101101100100111010010…
…01101001010011000111101
310221122110120010220012001110
412312103221031022120331
512421442204121040214
6144021012312032233
76226054132042464
oct666235115123075
9127573503805043
1030120223221309
119662a078596a1
123465601992679
1313a642b951320
14761b801db9db
15373769674159
hex1b64e934a63d

30120223221309 has 128 divisors (see below), whose sum is σ = 44877127680000. Its totient is φ = 17854992829440.

The previous prime is 30120223221301. The next prime is 30120223221323. The reversal of 30120223221309 is 90312232202103.

It is a happy number.

It is not a de Polignac number, because 30120223221309 - 23 = 30120223221301 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30120223221301) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17123491572 + ... + 17123493330.

It is an arithmetic number, because the mean of its divisors is an integer number (350602560000).

Almost surely, 230120223221309 is an apocalyptic number.

30120223221309 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

30120223221309 is a deficient number, since it is larger than the sum of its proper divisors (14756904458691).

30120223221309 is a wasteful number, since it uses less digits than its factorization.

30120223221309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2603.

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 30120223221309 in words is "thirty trillion, one hundred twenty billion, two hundred twenty-three million, two hundred twenty-one thousand, three hundred nine".

Divisors: 1 3 13 39 61 79 179 183 237 509 537 793 1027 1527 1759 2327 2379 3081 4819 5277 6617 6981 10919 14141 14457 19851 22867 31049 32757 40211 42423 62647 68601 91111 93147 107299 120633 138961 141947 183833 187941 273333 314861 321897 403637 416883 425841 522743 551499 862601 895331 944583 1184443 1210911 1394887 1568229 1806493 2452871 2587803 2685993 3553329 4093193 4184661 5419479 5557771 7197769 7358613 8476621 11213813 11639303 12279579 16673313 19206521 21593307 24874019 25429863 31887323 33641439 34917909 54615191 57619563 70731149 72251023 74622057 93570997 95661969 110196073 160264249 163845573 212193447 216753069 249684773 280712991 323362247 330588219 439063909 480792747 709997483 749054319 919504937 970086741 1317191727 1517315159 2083435237 2129992449 2758514811 4314600089 4551945477 5707830817 6250305711 9776119189 12660875671 12943800267 17123492451 19725097067 29328357567 37982627013 56089801157 59175291201 127089549457 164591383723 168269403471 381268648371 493774151169 772313415931 2316940247793 10040074407103 30120223221309