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5122344313200 = 2435241771102191
BaseRepresentation
bin100101010001010001110…
…0000110110000101110000
3200010200122222112012001110
41022202203200312011300
51132411030121010300
614521101131433320
71036035316156662
oct112424340660560
920120588465043
105122344313200
1116a5412909904
126a88b28b5840
132b205bb6a5ba
14139ccc1b4532
158d39d3ed550
hex4a8a3836170

5122344313200 has 120 divisors (see below), whose sum is σ = 16409129677056. Its totient is φ = 1365912416000.

The previous prime is 5122344313189. The next prime is 5122344313211. The reversal of 5122344313200 is 23134432215.

It is an interprime number because it is at equal distance from previous prime (5122344313189) and next prime (5122344313211).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×51223443132002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50074105 + ... + 50176295.

Almost surely, 25122344313200 is an apocalyptic number.

5122344313200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5122344313200 is an abundant number, since it is smaller than the sum of its proper divisors (11286785363856).

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

5122344313200 is a wasteful number, since it uses less digits than its factorization.

5122344313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143983 (or 143972 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 5122344313200 its reverse (23134432215), we get a palindrome (5145478745415).

The spelling of 5122344313200 in words is "five trillion, one hundred twenty-two billion, three hundred forty-four million, three hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 41771 83542 102191 125313 167084 204382 208855 250626 306573 334168 408764 417710 501252 510955 613146 626565 668336 817528 835420 1002504 1021910 1044275 1226292 1253130 1532865 1635056 1670840 2005008 2043820 2088550 2452584 2506260 2554775 3065730 3132825 3341680 4087640 4177100 4905168 5012520 5109550 6131460 6265650 7664325 8175280 8354200 10025040 10219100 12262920 12531300 15328650 16708400 20438200 24525840 25062600 30657300 40876400 50125200 61314600 122629200 4268620261 8537240522 12805860783 17074481044 21343101305 25611721566 34148962088 42686202610 51223443132 64029303915 68297924176 85372405220 102446886264 106715506525 128058607830 170744810440 204893772528 213431013050 256117215660 320146519575 341489620880 426862026100 512234431320 640293039150 853724052200 1024468862640 1280586078300 1707448104400 2561172156600 5122344313200