Search a number
-
+
30121322300300 = 225271137105725947
BaseRepresentation
bin1101101100101001010101…
…01101110100001110001100
310221122120101202000011222202
412312110222231310032030
512422001432002102200
6144021313333101032
76226123306051430
oct666245255641614
9127576352004882
1030121322300300
1196634211a4a40
123465869a87778
1313a657556ba1a
14761c4617a9c0
153737d0dc71d5
hex1b652ab7438c

30121322300300 has 144 divisors (see below), whose sum is σ = 83694352051968. Its totient is φ = 9134721734400.

The previous prime is 30121322300291. The next prime is 30121322300383. The reversal of 30121322300300 is 300322312103.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52578074 + ... + 53147873.

Almost surely, 230121322300300 is an apocalyptic number.

It is an amenable number.

30121322300300 is an abundant number, since it is smaller than the sum of its proper divisors (53573029751668).

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

30121322300300 is a wasteful number, since it uses less digits than its factorization.

30121322300300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105726016 (or 105726009 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 30121322300300 its reverse (300322312103), we get a palindrome (30421644612403).

The spelling of 30121322300300 in words is "thirty trillion, one hundred twenty-one billion, three hundred twenty-two million, three hundred thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 37 44 50 55 70 74 77 100 110 140 148 154 175 185 220 259 275 308 350 370 385 407 518 550 700 740 770 814 925 1036 1100 1295 1540 1628 1850 1925 2035 2590 2849 3700 3850 4070 5180 5698 6475 7700 8140 10175 11396 12950 14245 20350 25900 28490 40700 56980 71225 142450 284900 105725947 211451894 422903788 528629735 740081629 1057259470 1162985417 1480163258 2114518940 2325970834 2643148675 2960326516 3700408145 3911860039 4651941668 5286297350 5814927085 7400816290 7823720078 8140897919 10572594700 11629854170 14801632580 15647440156 16281795838 18502040725 19559300195 23259708340 27383020273 29074635425 32563591676 37004081450 39118600390 40704489595 43030460429 54766040546 58149270850 74008162900 78237200780 81408979190 86060920858 97796500975 109532081092 116298541700 136915101365 162817958380 172121841716 195593001950 203522447975 215152302145 273830202730 301213223003 391186003900 407044895950 430304604290 547660405460 602426446006 684575506825 814089791900 860609208580 1075761510725 1204852892012 1369151013650 1506066115015 2151523021450 2738302027300 3012132230030 4303046042900 6024264460060 7530330575075 15060661150150 30121322300300