Search a number
-
+
10334001320300 = 22527314311074913
BaseRepresentation
bin1001011001100001001001…
…1110100101000101101100
31100120220212022122022111202
42112120102132211011230
52323303013314222200
633551212532305032
72114415120621440
oct226302236450554
940526768568452
1010334001320300
11332469737a529
1211aa970172178
1359c652313868
1427a24dc94820
1512dc276621d5
hex966127a516c

10334001320300 has 144 divisors (see below), whose sum is σ = 27070279391232. Its totient is φ = 3349053388800.

The previous prime is 10334001320287. The next prime is 10334001320303. The reversal of 10334001320300 is 302310043301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10334001320303) 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, 4604357 + ... + 6470556.

It is an arithmetic number, because the mean of its divisors is an integer number (187988051328).

Almost surely, 210334001320300 is an apocalyptic number.

10334001320300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10334001320300 is an abundant number, since it is smaller than the sum of its proper divisors (16736278070932).

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

10334001320300 is a wasteful number, since it uses less digits than its factorization.

10334001320300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11075008 (or 11075001 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 10334001320300 its reverse (302310043301), we get a palindrome (10636311363601).

The spelling of 10334001320300 in words is "ten trillion, three hundred thirty-four billion, one million, three hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 43 50 62 70 86 100 124 140 155 172 175 215 217 301 310 350 430 434 602 620 700 775 860 868 1075 1085 1204 1333 1505 1550 2150 2170 2666 3010 3100 4300 4340 5332 5425 6020 6665 7525 9331 10850 13330 15050 18662 21700 26660 30100 33325 37324 46655 66650 93310 133300 186620 233275 466550 933100 11074913 22149826 44299652 55374565 77524391 110749130 155048782 221498260 276872825 310097564 343322303 387621955 476221259 553745650 686644606 775243910 952442518 1107491300 1373289212 1550487820 1716611515 1904885036 1938109775 2381106295 2403256121 3333548813 3433223030 3876219550 4762212590 4806512242 6667097626 6866446060 7752439100 8583057575 9524425180 9613024484 11905531475 12016280605 13334195252 14762859029 16667744065 17166115150 23811062950 24032561210 29525718058 33335488130 34332230300 47622125900 48065122420 59051436116 60081403025 66670976260 73814295145 83338720325 103340013203 120162806050 147628590290 166677440650 206680026406 240325612100 295257180580 333354881300 369071475725 413360052812 516700066015 738142951450 1033400132030 1476285902900 2066800264060 2583500330075 5167000660150 10334001320300