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30021010323300 = 223252244131366349
BaseRepresentation
bin1101101001101110011111…
…01001111111011101100100
310221021222110211022202202100
412310313033221333131210
512413331012120321200
6143503243423212100
76215642423241123
oct664671751773544
9127258424282670
1030021010323300
119624925754a07
12344a333747030
131399c7a229b09
1475b04b909aba
15370dae5b4d00
hex1b4dcfa7f764

30021010323300 has 108 divisors (see below), whose sum is σ = 94103112366900. Its totient is φ = 8005268970240.

The previous prime is 30021010323287. The next prime is 30021010323307. The reversal of 30021010323300 is 332301012003.

30021010323300 is a `hidden beast` number, since 30 + 0 + 2 + 1 + 0 + 10 + 323 + 300 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 11990388245796 + 18030622077504 = 3462714^2 + 4246248^2 .

It is a super-2 number, since 2×300210103233002 (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (30021010323307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21288526 + ... + 22654874.

Almost surely, 230021010323300 is an apocalyptic number.

30021010323300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30021010323300 is an abundant number, since it is smaller than the sum of its proper divisors (64082102043600).

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

30021010323300 is a wasteful number, since it uses less digits than its factorization.

30021010323300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390782 (or 1390772 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 30021010323300 its reverse (332301012003), we get a palindrome (30353311335303).

The spelling of 30021010323300 in words is "thirty trillion, twenty-one billion, ten million, three hundred twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 24413 48826 73239 97652 122065 146478 219717 244130 292956 366195 439434 488260 610325 732390 878868 1098585 1220650 1366349 1464780 1830975 2197170 2441300 2732698 3661950 4099047 4394340 5465396 5492925 6831745 7323900 8198094 10985850 12297141 13663490 16396188 20495235 21971700 24594282 27326980 34158725 40990470 49188564 61485705 68317450 81980940 102476175 122971410 136634900 204952350 245942820 307428525 409904700 614857050 1229714100 33356678137 66713356274 100070034411 133426712548 166783390685 200140068822 300210103233 333566781370 400280137644 500350172055 600420206466 667133562740 833916953425 1000700344110 1200840412932 1501050516165 1667833906850 2001400688220 2501750860275 3002101032330 3335667813700 5003501720550 6004202064660 7505252580825 10007003441100 15010505161650 30021010323300