Search a number
-
+
30030122313300 = 223522399310913421
BaseRepresentation
bin1101101001111111011101…
…10001011110011001010100
310221022211222212010211011110
412310333232301132121110
512414003142303011200
6143511351524535020
76216414266002464
oct664775661363124
9127284885124143
1030030122313300
11962878118695a
123450057251470
13139aa9cc5b185
1475b673b53ba4
15371244513b50
hex1b4feec5e654

30030122313300 has 144 divisors (see below), whose sum is σ = 86957809344000. Its totient is φ = 8001523622400.

The previous prime is 30030122313287. The next prime is 30030122313307. The reversal of 30030122313300 is 331322103003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30030122313307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2237540590 + ... + 2237554010.

It is an arithmetic number, because the mean of its divisors is an integer number (603873676000).

Almost surely, 230030122313300 is an apocalyptic number.

30030122313300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30030122313300 is an abundant number, since it is smaller than the sum of its proper divisors (56927687030700).

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

30030122313300 is a wasteful number, since it uses less digits than its factorization.

30030122313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18946 (or 18939 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 30030122313300 its reverse (331322103003), we get a palindrome (30361444416303).

The spelling of 30030122313300 in words is "thirty trillion, thirty billion, one hundred twenty-two million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 2399 3109 4798 6218 7197 9327 9596 11995 12436 13421 14394 15545 18654 23990 26842 28788 31090 35985 37308 40263 46635 47980 53684 59975 62180 67105 71970 77725 80526 93270 119950 134210 143940 155450 161052 179925 186540 201315 233175 239900 268420 310900 335525 359850 402630 466350 671050 719700 805260 932700 1006575 1342100 2013150 4026300 7458491 14916982 22375473 29833964 32196979 37292455 41725889 44750946 64393958 74584910 83451778 89501892 96590937 111877365 125177667 128787916 149169820 160984895 166903556 186462275 193181874 208629445 223754730 250355334 321969790 372924550 386363748 417258890 447509460 482954685 500710668 559386825 625888335 643939580 745849100 804924475 834517780 965909370 1043147225 1118773650 1251776670 1609848950 1931818740 2086294450 2237547300 2414773425 2503553340 3129441675 3219697900 4172588900 4829546850 6258883350 9659093700 12517766700 100100407711 200200815422 300301223133 400401630844 500502038555 600602446266 1001004077110 1201204892532 1501506115665 2002008154220 2502510192775 3003012231330 5005020385550 6006024462660 7507530578325 10010040771100 15015061156650 30030122313300