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320130222300 = 223352716938107
BaseRepresentation
bin1001010100010010011…
…11111000100011011100
31010121022102111021102000
410222021033320203130
520221111314103200
6403022113402300
732062060664160
oct4521117704334
91117272437360
10320130222300
1111384818a259
1252062b69390
132425a49c255
14116cc844ca0
1584d9a9e300
hex4a893f88dc

320130222300 has 144 divisors (see below), whose sum is σ = 1176182219520. Its totient is φ = 73172617920.

The previous prime is 320130222263. The next prime is 320130222371. The reversal of 320130222300 is 3222031023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8450154 + ... + 8487953.

It is an arithmetic number, because the mean of its divisors is an integer number (8167932080).

Almost surely, 2320130222300 is an apocalyptic number.

320130222300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320130222300 is an abundant number, since it is smaller than the sum of its proper divisors (856051997220).

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

320130222300 is a wasteful number, since it uses less digits than its factorization.

320130222300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16938137 (or 16938124 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 320130222300 its reverse (3222031023), we get a palindrome (323352253323).

The spelling of 320130222300 in words is "three hundred twenty billion, one hundred thirty million, two hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 27 28 30 35 36 42 45 50 54 60 63 70 75 84 90 100 105 108 126 135 140 150 175 180 189 210 225 252 270 300 315 350 378 420 450 525 540 630 675 700 756 900 945 1050 1260 1350 1575 1890 2100 2700 3150 3780 4725 6300 9450 18900 16938107 33876214 50814321 67752428 84690535 101628642 118566749 152442963 169381070 203257284 237133498 254071605 304885926 338762140 355700247 423452675 457328889 474266996 508143210 592833745 609771852 711400494 762214815 846905350 914657778 1016286420 1067100741 1185667490 1270358025 1422800988 1524429630 1693810700 1778501235 1829315556 2134201482 2286644445 2371334980 2540716050 2964168725 3048859260 3201302223 3557002470 3811074075 4268402964 4573288890 5081432100 5335503705 5928337450 6402604446 7114004940 7622148150 8892506175 9146577780 10671007410 11433222225 11856674900 12805208892 15244296300 16006511115 17785012350 21342014820 22866444450 26677518525 32013022230 35570024700 45732888900 53355037050 64026044460 80032555575 106710074100 160065111150 320130222300