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30344010104200 = 235213109107071313
BaseRepresentation
bin1101110011001000000111…
…11100010111110110001000
310222102212012020101201112111
412321210003330113312020
512434124013041313300
6144311502405352104
76251165600131342
oct671440374276610
9128385166351474
1030344010104200
119739905700aa1
1234a0a57708634
1313c157406bc20
1476c92d4c0292
153794b603d9ba
hex1b9903f17d88

30344010104200 has 96 divisors (see below), whose sum is σ = 76673767955400. Its totient is φ = 11101153628160.

The previous prime is 30344010104183. The next prime is 30344010104209. The reversal of 30344010104200 is 240101044303.

It can be written as a sum of positive squares in 12 ways, for example, as 408645676516 + 29935364427684 = 639254^2 + 5471322^2 .

It is not an unprimeable number, because it can be changed into a prime (30344010104209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 53252257 + ... + 53819056.

Almost surely, 230344010104200 is an apocalyptic number.

It is an amenable number.

30344010104200 is an abundant number, since it is smaller than the sum of its proper divisors (46329757851200).

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

30344010104200 is a wasteful number, since it uses less digits than its factorization.

30344010104200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107071451 (or 107071442 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 30344010104200 its reverse (240101044303), we get a palindrome (30584111148503).

The spelling of 30344010104200 in words is "thirty trillion, three hundred forty-four billion, ten million, one hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 109 130 200 218 260 325 436 520 545 650 872 1090 1300 1417 2180 2600 2725 2834 4360 5450 5668 7085 10900 11336 14170 21800 28340 35425 56680 70850 141700 283400 107071313 214142626 428285252 535356565 856570504 1070713130 1391927069 2141426260 2676782825 2783854138 4282852520 5353565650 5567708276 6959635345 10707131300 11135416552 11670773117 13919270690 21414262600 23341546234 27838541380 34798176725 46683092468 55677082760 58353865585 69596353450 93366184936 116707731170 139192706900 151720050521 233415462340 278385413800 291769327925 303440101042 466830924680 583538655850 606880202084 758600252605 1167077311700 1213760404168 1517200505210 2334154623400 3034401010420 3793001263025 6068802020840 7586002526050 15172005052100 30344010104200