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30101033330000 = 24546581457393
BaseRepresentation
bin1101101100000011100010…
…11001100010010101010000
310221120122000202201201000022
412312001301121202111100
512421133404013030000
6144004120202043012
76224504444463503
oct666016131422520
9127518022651008
1030101033330000
11965585a645296
1234619471a9468
1313a4691058759
14760c7d75313a
15372ee4aca585
hex1b6071662550

30101033330000 has 100 divisors (see below), whose sum is σ = 72888845093988. Its totient is φ = 12038557440000.

The previous prime is 30101033329963. The next prime is 30101033330023. The reversal of 30101033330000 is 3333010103.

It can be written as a sum of positive squares in 10 ways, for example, as 28222401250576 + 1878632079424 = 5312476^2 + 1370632^2 .

It is a tau number, because it is divible by the number of its divisors (100).

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 19 ways as a sum of consecutive naturals, for example, 65581304 + ... + 66038696.

Almost surely, 230101033330000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30101033330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36444422546994).

30101033330000 is an abundant number, since it is smaller than the sum of its proper divisors (42787811763988).

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

30101033330000 is an equidigital number, since it uses as much as digits as its factorization.

30101033330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464002 (or 463981 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 17.

Adding to 30101033330000 its reverse (3333010103), we get a palindrome (30104366340103).

The spelling of 30101033330000 in words is "thirty trillion, one hundred one billion, thirty-three million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 6581 10000 13162 26324 32905 52648 65810 105296 131620 164525 263240 329050 457393 526480 658100 822625 914786 1316200 1645250 1829572 2286965 2632400 3290500 3659144 4113125 4573930 6581000 7318288 8226250 9147860 11434825 13162000 16452500 18295720 22869650 32905000 36591440 45739300 57174125 65810000 91478600 114348250 182957200 228696500 285870625 457393000 571741250 914786000 1143482500 2286965000 3010103333 4573930000 6020206666 12040413332 15050516665 24080826664 30101033330 48161653328 60202066660 75252583325 120404133320 150505166650 240808266640 301010333300 376262916625 602020666600 752525833250 1204041333200 1505051666500 1881314583125 3010103333000 3762629166250 6020206666000 7525258332500 15050516665000 30101033330000