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221131000323300 = 223522954494664591
BaseRepresentation
bin110010010001111000010010…
…101110010001110011100100
31001222221220202121201220221010
4302101320102232101303210
5212441002242040321200
62102150102405422220
764402121221431324
oct6221702256216344
91058856677656833
10221131000323300
116450614889a081
122097480470a970
139650743a34342
143c86b24587284
151a871d1247150
hexc91e12b91ce4

221131000323300 has 144 divisors (see below), whose sum is σ = 661989567456000. Its totient is φ = 56924417356800.

The previous prime is 221131000323253. The next prime is 221131000323403. The reversal of 221131000323300 is 3323000131122.

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, 45074005 + ... + 49738595.

It is an arithmetic number, because the mean of its divisors is an integer number (4597149774000).

Almost surely, 2221131000323300 is an apocalyptic number.

221131000323300 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 221131000323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330994783728000).

221131000323300 is an abundant number, since it is smaller than the sum of its proper divisors (440858567132700).

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

221131000323300 is a wasteful number, since it uses less digits than its factorization.

221131000323300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4670086 (or 4670079 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 221131000323300 its reverse (3323000131122), we get a palindrome (224454000454422).

The spelling of 221131000323300 in words is "two hundred twenty-one trillion, one hundred thirty-one billion, three hundred twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1450 1740 2175 2900 4350 5449 8700 10898 16347 21796 27245 32694 54490 65388 81735 108980 136225 158021 163470 272450 316042 326940 408675 474063 544900 632084 790105 817350 948126 1580210 1634700 1896252 2370315 3160420 3950525 4664591 4740630 7901050 9329182 9481260 11851575 13993773 15802100 18658364 23322955 23703150 27987546 46645910 47406300 55975092 69968865 93291820 116614775 135273139 139937730 233229550 270546278 279875460 349844325 405819417 466459100 541092556 676365695 699688650 811638834 1352731390 1399377300 1623277668 2029097085 2705462780 3381828475 4058194170 6763656950 8116388340 10145485425 13527313900 20290970850 25417356359 40581941700 50834712718 76252069077 101669425436 127086781795 152504138154 254173563590 305008276308 381260345385 508347127180 635433908975 737103334411 762520690770 1270867817950 1474206668822 1525041381540 1906301726925 2211310003233 2541735635900 2948413337644 3685516672055 3812603453850 4422620006466 7371033344110 7625206907700 8845240012932 11056550016165 14742066688220 18427583360275 22113100032330 36855166720550 44226200064660 55282750080825 73710333441100 110565500161650 221131000323300