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221030013112300 = 225272359232317841
BaseRepresentation
bin110010010000011010001111…
…011010101000111111101100
31001222121021002122111001210001
4302100122033122220333230
5212432323431324043200
62102031441455154044
764361614526335540
oct6220321732507754
91058537078431701
10221030013112300
1164477336185817
1220959120215924
13964406b8448a2
143c81ca4387a20
151a8477050576a
hexc9068f6a8fec

221030013112300 has 144 divisors (see below), whose sum is σ = 572084051277312. Its totient is φ = 72474591974400.

The previous prime is 221030013112219. The next prime is 221030013112301. The reversal of 221030013112300 is 3211310030122.

It is a super-2 number, since 2×2210300131123002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221030013112301) 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, 94201380 + ... + 96519220.

It is an arithmetic number, because the mean of its divisors is an integer number (3972805911648).

Almost surely, 2221030013112300 is an apocalyptic number.

221030013112300 is a gapful number since it is divisible by the number (20) 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 221030013112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286042025638656).

221030013112300 is an abundant number, since it is smaller than the sum of its proper divisors (351054038165012).

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

221030013112300 is a wasteful number, since it uses less digits than its factorization.

221030013112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2323808 (or 2323801 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 221030013112300 its reverse (3211310030122), we get a palindrome (224241323142422).

The spelling of 221030013112300 in words is "two hundred twenty-one trillion, thirty billion, thirteen million, one hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 140 161 175 230 322 350 460 575 644 700 805 1150 1610 2300 3220 4025 5923 8050 11846 16100 23692 29615 41461 59230 82922 118460 136229 148075 165844 207305 272458 296150 414610 544916 592300 681145 829220 953603 1036525 1362290 1907206 2073050 2317841 2724580 3405725 3814412 4146100 4635682 4768015 6811450 9271364 9536030 11589205 13622900 16224887 19072060 23178410 23840075 32449774 46356820 47680150 53310343 57946025 64899548 81124435 95360300 106620686 115892050 162248870 213241372 231784100 266551715 324497740 373172401 405622175 533103430 746344802 811244350 1066206860 1332758575 1492689604 1622488700 1865862005 2665517150 3731724010 5331034300 7463448020 9329310025 13728572243 18658620050 27457144486 37317240100 54914288972 68642861215 96100005701 137285722430 192200011402 274571444860 315757161589 343214306075 384400022804 480500028505 631514323178 686428612150 961000057010 1263028646356 1372857224300 1578785807945 1922000114020 2210300131123 2402500142525 3157571615890 4420600262246 4805000285050 6315143231780 7893929039725 8841200524492 9610000570100 11051500655615 15787858079450 22103001311230 31575716158900 44206002622460 55257503278075 110515006556150 221030013112300