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221213112230300 = 225243293797220301
BaseRepresentation
bin110010010011000100110000…
…111110010110000110011100
31002000020202201010202222200212
4302103010300332112012130
5212443323423212332200
62102251522324511552
764411056066221231
oct6223046076260634
91060222633688625
10221213112230300
1164537a54927143
12209886bb84b5b8
1396583cb565868
143c8aab39cb788
151a893d9d31035
hexc93130f9619c

221213112230300 has 144 divisors (see below), whose sum is σ = 493493085483552. Its totient is φ = 86024012928000.

The previous prime is 221213112230287. The next prime is 221213112230381. The reversal of 221213112230300 is 3032211312122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1004030150 + ... + 1004250450.

It is an arithmetic number, because the mean of its divisors is an integer number (3427035315858).

Almost surely, 2221213112230300 is an apocalyptic number.

221213112230300 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 221213112230300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246746542741776).

221213112230300 is an abundant number, since it is smaller than the sum of its proper divisors (272279973253252).

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

221213112230300 is a wasteful number, since it uses less digits than its factorization.

221213112230300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221448 (or 221441 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 221213112230300 its reverse (3032211312122), we get a palindrome (224245323542422).

The spelling of 221213112230300 in words is "two hundred twenty-one trillion, two hundred thirteen billion, one hundred twelve million, two hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 293 430 586 797 860 1075 1172 1465 1594 2150 2930 3188 3985 4300 5860 7325 7970 12599 14650 15940 19925 25198 29300 34271 39850 50396 62995 68542 79700 125990 137084 171355 220301 233521 251980 314975 342710 440602 467042 629950 685420 856775 881204 934084 1101505 1167605 1259900 1713550 2203010 2335210 3427100 4406020 4670420 5507525 5838025 9472943 10041403 11015050 11676050 18945886 20082806 22030100 23352100 37891772 40165612 47364715 50207015 64548193 94729430 100414030 129096386 175579897 189458860 200828060 236823575 251035075 258192772 322740965 351159794 473647150 502070150 645481930 702319588 877899485 947294300 1004140300 1290963860 1613704825 1755798970 2775572299 3227409650 3511597940 4389497425 5551144598 6454819300 7549935571 8778994850 11102289196 13877861495 15099871142 17557989700 27755722990 30199742284 37749677855 51444909821 55511445980 69389307475 75499355710 102889819642 138778614950 150998711420 188748389275 205779639284 257224549105 277557229900 377496778550 514449098210 754993557100 1028898196420 1286122745525 2212131122303 2572245491050 4424262244606 5144490982100 8848524489212 11060655611515 22121311223030 44242622446060 55303278057575 110606556115150 221213112230300