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2221030200300 = 2235241821219941
BaseRepresentation
bin100000010100011111101…
…101110101001111101100
321212022212102011101211220
4200110133231311033230
5242342132212402200
64420154401143340
7316315125131262
oct40243755651754
97768772141756
102221030200300
11786a2a71180a
122ba54a62ab50
13131599810542
14796d99c6432
153cb928674a0
hex2051fb753ec

2221030200300 has 144 divisors (see below), whose sum is σ = 6590964963744. Its totient is φ = 577122560000.

The previous prime is 2221030200293. The next prime is 2221030200313. The reversal of 2221030200300 is 30020301222.

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 2221030200300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9988330 + ... + 10208270.

It is an arithmetic number, because the mean of its divisors is an integer number (45770590026).

Almost surely, 22221030200300 is an apocalyptic number.

2221030200300 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 2221030200300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3295482481872).

2221030200300 is an abundant number, since it is smaller than the sum of its proper divisors (4369934763444).

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

2221030200300 is a wasteful number, since it uses less digits than its factorization.

2221030200300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220820 (or 220813 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 2221030200300 its reverse (30020301222), we get a palindrome (2251050501522).

The spelling of 2221030200300 in words is "two trillion, two hundred twenty-one billion, thirty million, two hundred thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 300 410 492 615 820 821 1025 1230 1642 2050 2460 2463 3075 3284 4100 4105 4926 6150 8210 9852 12300 12315 16420 20525 24630 33661 41050 49260 61575 67322 82100 100983 123150 134644 168305 201966 219941 246300 336610 403932 439882 504915 659823 673220 841525 879764 1009830 1099705 1319646 1683050 2019660 2199410 2524575 2639292 3299115 3366100 4398820 5049150 5498525 6598230 9017581 10098300 10997050 13196460 16495575 18035162 21994100 27052743 32991150 36070324 45087905 54105486 65982300 90175810 108210972 135263715 180351620 180571561 225439525 270527430 361143122 450879050 541054860 541714683 676318575 722286244 901758100 902857805 1083429366 1352637150 1805715610 2166858732 2705274300 2708573415 3611431220 4514289025 5417146830 7403434001 9028578050 10834293660 13542867075 14806868002 18057156100 22210302003 27085734150 29613736004 37017170005 44420604006 54171468300 74034340010 88841208012 111051510015 148068680020 185085850025 222103020030 370171700050 444206040060 555257550075 740343400100 1110515100150 2221030200300