Base | Representation |
---|---|
bin | 1101101001011010010110… |
… | …11000001010100110000000 |
3 | 10221020221120111220111202220 |
4 | 12310231023120022212000 |
5 | 12413141342441420300 |
6 | 143454255052411040 |
7 | 6215110521454164 |
oct | 664551330124600 |
9 | 127227514814686 |
10 | 30010201123200 |
11 | 9620289195991 |
12 | 3448217776a80 |
13 | 1398c469b801c |
14 | 75a704104ca4 |
15 | 37097a663da0 |
hex | 1b4b4b60a980 |
30010201123200 has 384 divisors, whose sum is σ = 100440320872320. Its totient is φ = 7873933393920.
The previous prime is 30010201123193. The next prime is 30010201123213. The reversal of 30010201123200 is 232110201003.
It is a tau number, because it is divible by the number of its divisors (384).
It is a super-2 number, since 2×300102011232002 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 30010201123200.
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, 551195179 + ... + 551249621.
It is an arithmetic number, because the mean of its divisors is an integer number (261563335605).
Almost surely, 230010201123200 is an apocalyptic number.
30010201123200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 30010201123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50220160436160).
30010201123200 is an abundant number, since it is smaller than the sum of its proper divisors (70430119749120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
30010201123200 is a wasteful number, since it uses less digits than its factorization.
30010201123200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 55394 (or 55377 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 15.
Adding to 30010201123200 its reverse (232110201003), we get a palindrome (30242311324203).
The spelling of 30010201123200 in words is "thirty trillion, ten billion, two hundred one million, one hundred twenty-three thousand, two hundred".
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