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221133020020 = 22511291377281
BaseRepresentation
bin1100110111110010001…
…1100001101101110100
3210010210010210100000121
43031330203201231310
512110340023120040
6245330452021324
721655611441163
oct3157443415564
9703703710017
10221133020020
1185866908a00
1236a35001844
1317b11669253
14a9baa5d3da
155b438e9c4a
hex337c8e1b74

221133020020 has 36 divisors (see below), whose sum is σ = 510433497252. Its totient is φ = 80412006400.

The previous prime is 221133019993. The next prime is 221133020041. The reversal of 221133020020 is 20020331122.

It can be written as a sum of positive squares in 2 ways, for example, as 156711473424 + 64421546596 = 395868^2 + 253814^2 .

It is a junction number, because it is equal to n+sod(n) for n = 221133019976 and 221133020003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45686221 + ... + 45691060.

It is an arithmetic number, because the mean of its divisors is an integer number (14178708257).

Almost surely, 2221133020020 is an apocalyptic number.

221133020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221133020020 is an abundant number, since it is smaller than the sum of its proper divisors (289300477232).

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

221133020020 is a wasteful number, since it uses less digits than its factorization.

221133020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91377312 (or 91377299 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 221133020020 its reverse (20020331122), we get a palindrome (241153351142).

The spelling of 221133020020 in words is "two hundred twenty-one billion, one hundred thirty-three million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 91377281 182754562 365509124 456886405 913772810 1005150091 1827545620 2010300182 4020600364 5025750455 10051500910 11056651001 20103001820 22113302002 44226604004 55283255005 110566510010 221133020020