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12130102320300 = 2233525384766613
BaseRepresentation
bin1011000010000100001001…
…1100001001110010101100
31120221121220200112202111000
42300201002130021302230
53042214422143222200
641444254142200300
72361241146334536
oct260410234116254
946847820482430
1012130102320300
11395739058a768
12143aa8a883090
1369cb2c83b073
142dd1588c0856
151607e9c46300
hexb0842709cac

12130102320300 has 144 divisors (see below), whose sum is σ = 39731807314080. Its totient is φ = 3173661953280.

The previous prime is 12130102320299. The next prime is 12130102320367. The reversal of 12130102320300 is 302320103121.

12130102320300 is a `hidden beast` number, since 1 + 2 + 1 + 30 + 10 + 2 + 320 + 300 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 42240207 + ... + 42526406.

It is an arithmetic number, because the mean of its divisors is an integer number (275915328570).

Almost surely, 212130102320300 is an apocalyptic number.

12130102320300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12130102320300 is an abundant number, since it is smaller than the sum of its proper divisors (27601704993780).

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

12130102320300 is a wasteful number, since it uses less digits than its factorization.

12130102320300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84766689 (or 84766676 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12130102320300 its reverse (302320103121), we get a palindrome (12432422423421).

The spelling of 12130102320300 in words is "twelve trillion, one hundred thirty billion, one hundred two million, three hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 53 54 60 75 90 100 106 108 135 150 159 180 212 225 265 270 300 318 450 477 530 540 636 675 795 900 954 1060 1325 1350 1431 1590 1908 2385 2650 2700 2862 3180 3975 4770 5300 5724 7155 7950 9540 11925 14310 15900 23850 28620 35775 47700 71550 143100 84766613 169533226 254299839 339066452 423833065 508599678 762899517 847666130 1017199356 1271499195 1525799034 1695332260 2119165325 2288698551 2542998390 3051598068 3814497585 4238330650 4492630489 4577397102 5085996780 6357495975 7628995170 8476661300 8985260978 9154794204 11443492755 12714991950 13477891467 15257990340 17970521956 19072487925 22463152445 22886985510 25429983900 26955782934 38144975850 40433674401 44926304890 45773971020 53911565868 57217463775 67389457335 76289951700 80867348802 89852609780 112315762225 114434927550 121301023203 134778914670 161734697604 202168372005 224631524450 228869855100 242602046406 269557829340 336947286675 404336744010 449263048900 485204092812 606505116015 673894573350 808673488020 1010841860025 1213010232030 1347789146700 2021683720050 2426020464060 3032525580075 4043367440100 6065051160150 12130102320300