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221312303300 = 225211218290273
BaseRepresentation
bin1100111000011100111…
…1011100000011000100
3210011020122010212110002
43032013033130003010
512111221422201200
6245400334420432
721663216353024
oct3160717340304
9704218125402
10221312303300
1185949031100
1236a85061718
1317b3c84bb2a
14a9d67aba84
155b54510bd5
hex33873dc0c4

221312303300 has 54 divisors (see below), whose sum is σ = 527875597914. Its totient is φ = 80477196800.

The previous prime is 221312303287. The next prime is 221312303321. The reversal of 221312303300 is 3303213122.

It can be written as a sum of positive squares in 3 ways, for example, as 40858962496 + 180453340804 = 202136^2 + 424798^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9133037 + ... + 9157236.

Almost surely, 2221312303300 is an apocalyptic number.

221312303300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221312303300 is an abundant number, since it is smaller than the sum of its proper divisors (306563294614).

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

221312303300 is a wasteful number, since it uses less digits than its factorization.

221312303300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18290309 (or 18290291 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 221312303300 its reverse (3303213122), we get a palindrome (224615516422).

The spelling of 221312303300 in words is "two hundred twenty-one billion, three hundred twelve million, three hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100 18290273 36580546 73161092 91451365 182902730 201193003 365805460 402386006 457256825 804772012 914513650 1005965015 1829027300 2011930030 2213123033 4023860060 4426246066 5029825075 8852492132 10059650150 11065615165 20119300300 22131230330 44262460660 55328075825 110656151650 221312303300