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213443041104 = 243219920293671
BaseRepresentation
bin1100011011001000110…
…0100101011101010000
3202101221012201221002200
43012302030211131100
511444112404303404
6242015425043200
721264213625446
oct3066214453520
9671835657080
10213443041104
1182580039a27
1235449786500
1317187422277
14a48b616b96
15584373c839
hex31b2325750

213443041104 has 120 divisors (see below), whose sum is σ = 600805296000. Its totient is φ = 70735991040.

The previous prime is 213443041093. The next prime is 213443041127. The reversal of 213443041104 is 401140344312.

213443041104 is a `hidden beast` number, since 2 + 1 + 344 + 304 + 1 + 10 + 4 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 58141189 + ... + 58144859.

It is an arithmetic number, because the mean of its divisors is an integer number (5006710800).

Almost surely, 2213443041104 is an apocalyptic number.

213443041104 is a gapful number since it is divisible by the number (24) 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 213443041104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300402648000).

213443041104 is an abundant number, since it is smaller than the sum of its proper divisors (387362254896).

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

213443041104 is a wasteful number, since it uses less digits than its factorization.

213443041104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5913 (or 5904 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 213443041104 its reverse (401140344312), we get a palindrome (614583385416).

The spelling of 213443041104 in words is "two hundred thirteen billion, four hundred forty-three million, forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 199 398 597 796 1194 1592 1791 2029 2388 3184 3582 3671 4058 4776 6087 7164 7342 8116 9552 11013 12174 14328 14684 16232 18261 22026 24348 28656 29368 32464 33039 36522 44052 48696 58736 66078 73044 88104 97392 132156 146088 176208 264312 292176 403771 528624 730529 807542 1211313 1461058 1615084 2191587 2422626 2922116 3230168 3633939 4383174 4845252 5844232 6460336 6574761 7267878 7448459 8766348 9690504 11688464 13149522 14535756 14896918 17532696 19381008 22345377 26299044 29071512 29793836 35065392 44690754 52598088 58143024 59587672 67036131 89381508 105196176 119175344 134072262 178763016 268144524 357526032 536289048 1072578096 1482243341 2964486682 4446730023 5928973364 8893460046 11857946728 13340190069 17786920092 23715893456 26680380138 35573840184 53360760276 71147680368 106721520552 213443041104